Preprints - Algebra
arXiv Search for Roma01.Math - algebra
81 results for algebra
81 results for algebra
- arxiv-id: 2406.13797v2 [Abstract, pdf]
Quantum automata and languages of finite index
Andrea Benso, Flavio D'Alessandro, Paolo Papi
Published: 2024-06-19
- arxiv-id: 2405.19090v1 [Abstract, pdf]
Unitarity of minimal $W$-algebras and their representations II: Ramond sector
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Published: 2024-05-29
- arxiv-id: 2405.10809v2 [Abstract, pdf]
Framization and Deframization
Francesca Aicardi, Jesús Juyumaya, Paolo Papi
Published: 2024-05-17
- arxiv-id: 2402.15488v1 [Abstract, pdf]
Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systems
Lorenzo Bertini, Alberto De Sole, Gustavo Posta, Carlo Presilla
Published: 2024-02-23
- arxiv-id: 2302.05269v3 [Abstract, pdf]
Defining relations for minimal unitary quantum affine W-algebras
Dražen Adamović, Victor . G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Published: 2023-02-10
Journal Reference: Comm. Math. Phys. 405 (2024), no. 2, Paper No. 33
- arxiv-id: 2208.02101v4 [Abstract, pdf]
Unitarity of minimal $W$-algebras and their representations I
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Published: 2022-08-03
Journal Reference: Commun. Math. Phys. 401, 79-145 (2023)
- arxiv-id: 2206.11923v2 [Abstract, pdf]
Trace distance ergodicity for quantum Markov semigroups
Lorenzo Bertini, Alberto De Sole, Gustavo Posta
Published: 2022-06-23
Journal Reference: Journal of Functional Analysis, 286, Issue 7 (2024)
- arxiv-id: 2203.08497v3 [Abstract, pdf]
New approaches for studying conformal embeddings and collapsing levels for $W$--algebras
Drazen Adamovic, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2022-03-16
Journal Reference: Int. Math. Res. Not. IMRN 2023, no.22, 19431-19475
- arxiv-id: 2107.12105v2 [Abstract, pdf]
On the semisimplicity of the category $KL_k$ for affine Lie superalgebras
Drazen Adamovic, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2021-07-26
Journal Reference: Adv. Math. 405 (2022), Paper No. 108493, 35 pp
- arxiv-id: 2107.00453v1 [Abstract, pdf]
Some combinatorial properties of skew Jack symmetric functions
Paolo Bravi, Jacopo Gandini
Published: 2021-07-01
- arxiv-id: 2106.04893v2 [Abstract, pdf]
On the multiplication of spherical functions of reductive spherical pairs of type A
Paolo Bravi, Jacopo Gandini
Published: 2021-06-09
- arxiv-id: 2012.14643v2 [Abstract, pdf]
Unitarity of minimal $W$-algebras
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Published: 2020-12-29
Journal Reference: Comm. Math. Phys. 401 (2023), no. 1, 79-145
- arxiv-id: 2008.13178v2 [Abstract, pdf]
Invariant Hermitian forms on vertex algebras
Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi
Published: 2020-08-30
Journal Reference: Commun. Contemp. Math. 24 (2022), no. 5, Paper No. 2150059
- arxiv-id: 1912.07404v2 [Abstract, pdf]
Yangians vs minimal W-algebras: a surprizing coincidence
Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2019-12-16
Journal Reference: Commun. Contemp. Math. 23 (2021), no. 4, 2050036
- arxiv-id: 1908.01337v2 [Abstract, pdf]
Nilpotent orbits of height 2 and involutions in the affine Weyl group
Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2019-08-04
Journal Reference: Indag. Math. (N.S.) 31 (2020), no. 4, 568-594
- arxiv-id: 1903.03794v2 [Abstract, pdf]
Conformal embeddings in affine vertex superalgebras
Dražen Adamović, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše
Published: 2019-03-09
Journal Reference: Adv. Math. 360 (2020) 106918
- arxiv-id: 1806.08754v2 [Abstract, pdf]
An operadic approach to vertex algebra and Poisson vertex algebra cohomology
Bojko Bakalov, Alberto De Sole, Reimundo Heluani, Victor G. Kac
Published: 2018-06-22
Journal Reference: Jpn. J. Math. 14, 249-342 (2019)
- arxiv-id: 1806.08622v3 [Abstract, pdf]
The Bruhat order on abelian ideals of Borel subalgebras
Jacopo Gandini, Andrea Maffei, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2018-06-22
Journal Reference: Trans. Amer. Math. Soc. 373 (2020), no. 10, 6999-7018
- arxiv-id: 1802.02929v1 [Abstract, pdf]
Kostant's pair of Lie type and conformal embeddings
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse
Published: 2018-02-08
Journal Reference: Affine, Vertex and W-algebras (D. Adamovic, P. Papi editors), Springer Indam Series n. 37, pp. 1-22, 2019
- arxiv-id: 1801.09880v2 [Abstract, pdf]
An application of collapsing levels to the representation theory of affine vertex algebras
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse
Published: 2018-01-30
Journal Reference: Int. Math. Res. Not. IMRN 2020, no. 13, 4103-4143
- arxiv-id: 1710.11468v1 [Abstract, pdf]
Regular functions on spherical nilpotent orbits in complex symmetric pairs: exceptional cases
Paolo Bravi, Jacopo Gandini
Published: 2017-10-31
- arxiv-id: 1702.06089v2 [Abstract, pdf]
On classification of non-equal rank affine conformal embeddings and applications
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse
Published: 2017-02-20
Journal Reference: Selecta Mathematica, (2018) 24, 2455-2498
- arxiv-id: 1612.01300v2 [Abstract, pdf]
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases
Paolo Bravi, Jacopo Gandini
Published: 2016-12-05
Journal Reference: Kyoto J. Math. 60, no. 2 (2020), 405-450
- arxiv-id: 1607.03308v3 [Abstract, pdf]
Spherical nilpotent orbits and abelian subalgebras in isotropy representations
Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2016-07-12
Journal Reference: Journal of the London Mathematical Society, 95 (1), 323--352 (2017)
- arxiv-id: 1605.02898v1 [Abstract, pdf]
Finite W-algebras for gl_N
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2016-05-10
Journal Reference: Adv. Math. 327 (2018), 173-224
- arxiv-id: 1604.00893v3 [Abstract, pdf]
Conformal embeddings of affine vertex algebras in minimal $W$-algebras II: decompositions
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse
Published: 2016-04-04
Journal Reference: Japanese Journal of Mathematics, 12, (2017), n. 2, 261-315
- arxiv-id: 1602.07141v1 [Abstract, pdf]
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases
Paolo Bravi, Rocco Chirivì, Jacopo Gandini
Published: 2016-02-23
Journal Reference: Kyoto J. Math. 57, no. 4 (2017), 717-787
- arxiv-id: 1602.04687v2 [Abstract, pdf]
Conformal embeddings of affine vertex algebras in minimal $W$-algebras I: structural results
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse
Published: 2016-02-15
Journal Reference: Journal of Algebra, 500, (2018), 117-152
- arxiv-id: 1509.06878v3 [Abstract, pdf]
Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2015-09-23
Journal Reference: Communications in Mathematical Physics, 2016, 348(1), 265-319
- arxiv-id: 1509.06512v2 [Abstract, pdf]
Finite vs infinite decompositions in conformal embeddings
Drazen Adamovic, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Ozren Perse
Published: 2015-09-22
Journal Reference: Communications in Mathematical Physics, 348, 445-473 (2016)
- arxiv-id: 1508.02549v2 [Abstract, pdf]
A new scheme of integrability for (bi)Hamiltonian PDE
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2015-08-11
Journal Reference: Comm. Math. Phys. 347 (2016), n. 2, 449-488
- arxiv-id: 1506.05691v2 [Abstract, pdf]
Quantitative analysis of Clausius inequality
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2015-06-18
Journal Reference: J. Stat. Mech. Theory Exp. 2015, no. 10, P10018, 19 pp
- arxiv-id: 1405.1349v1 [Abstract, pdf]
On integrability of some bi-Hamiltonian two field systems of PDE
Alberto De Sole, Victor G. Kac, Refik Turhan
Published: 2014-05-06
Journal Reference: J. Math. Phys. 56 (2015), no. 5, 051503
- arxiv-id: 1404.6466v2 [Abstract, pdf]
Macroscopic fluctuation theory
Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio, Claudio Landim
Published: 2014-04-25
Journal Reference: Reviews of Modern Physics, Volume 87, 593-636, 2015
- arxiv-id: 1404.4222v2 [Abstract, pdf]
On special covariants in the exterior algebra of a simple Lie algebra
Corrado De Concini, Pierluigi Möseneder Frajria, Paolo Papi, Claudio Procesi
Published: 2014-04-16
Journal Reference: Rend. Lincei Mat. Appl. 25 (2014), 331-334
- arxiv-id: 1404.0715v1 [Abstract, pdf]
Structure of classical (finite and affine) W-algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2014-04-02
Journal Reference: J. Eur. Math. Soc. 18 (2016), n. 9, 1873-1908
- arxiv-id: 1401.6006v2 [Abstract, pdf]
Integrability of Dirac reduced bi-Hamiltonian equations
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2014-01-23
Journal Reference: Trends in Contemporary Mathematics, Springer INdAM Series, Vol. 8 (2014), 13-32
- arxiv-id: 1401.2082v2 [Abstract, pdf]
Adler-Gelfand-Dickey approach to classical W-algebras within the theory of Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2014-01-09
Journal Reference: Int. Math. Res. Not. 21 (2015), 11186-11235
- arxiv-id: 1312.7687v3 [Abstract, pdf]
The maximum cardinality of minimal inversion complete sets in finite reflection groups
Claudia Malvenuto, Pierluigi Möseneder Frajria, Luigi Orsina, Paolo Papi
Published: 2013-12-30
Journal Reference: Journal of Algebra , 424 (2015), 330-356
- arxiv-id: 1311.4338v5 [Abstract, pdf]
The adjoint representation inside the exterior algebra of a simple Lie algebra
Corrado De Concini, Paolo Papi, Claudio Procesi
Published: 2013-11-18
Journal Reference: Advances in Mathematics, 280 (2015) 21-46
- arxiv-id: 1308.2647v1 [Abstract, pdf]
Singular degree of a rational matrix pseudodifferential operator
Sylvain Carpentier, Alberto De Sole, Victor G. kac
Published: 2013-08-12
Journal Reference: Int Math Res Not (2015)
- arxiv-id: 1306.6592v1 [Abstract, pdf]
On classical finite and affine W-algebras
Alberto De Sole
Published: 2013-06-27
Journal Reference: Springer INdAM Series, Vol. 7 (2014), pagine 51-67
- arxiv-id: 1306.6589v3 [Abstract, pdf]
Dirac reduction for Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2013-06-27
Journal Reference: Comm. Math. Phys. 331 (2014), n. 3, 1155-1190
- arxiv-id: 1306.1684v3 [Abstract, pdf]
Classical W-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2013-06-07
Journal Reference: Comm. Math. Phys. 331 (2014), n. 2, 623-676
- arxiv-id: 1305.0380v1 [Abstract, pdf]
Some remarks on non-commutative principal ideal rings
Sylvain Carpentier, Alberto De Sole, Victor G. Kac
Published: 2013-05-02
Journal Reference: Comptes rendus Mathematique 351 (2013), pp.5-8
- arxiv-id: 1303.3438v1 [Abstract, pdf]
A new approach to the Lenard-Magri scheme of integrability
Alberto De Sole, Victor G. Kac, Refik Turhan
Published: 2013-03-14
Journal Reference: Comm. Math. Phys. 330 (2014), no. 1, 107-122
- arxiv-id: 1302.0148v2 [Abstract, pdf]
Non-local Poisson structures and applications to the theory of integrable systems
Alberto De Sole, Victor G. Kac
Published: 2013-02-01
Journal Reference: Jpn. J. Math. 8 (2013), no. 2, 233-347
- arxiv-id: 1301.2548v2 [Abstract, pdf]
Symmetries of abelian ideals of Borel subalgebras
Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2013-01-11
Journal Reference: Journal of Lie Theory, 24 (2014), No. 1, 199--224
- arxiv-id: 1211.2391v1 [Abstract, pdf]
Non-local Poisson structures and applications to the theory of integrable systems II
Alberto De Sole, Victor G. Kac
Published: 2012-11-11
- arxiv-id: 1210.6602v2 [Abstract, pdf]
Conformal embeddings and simple current extensions
Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi, Feng Xu
Published: 2012-10-24
Journal Reference: IMRN (2015), 14, 5229-5288
- arxiv-id: 1210.1688v1 [Abstract, pdf]
Non-local Hamiltonian structures and applications to the theory of integrable systems I
Alberto De Sole, Victor G. Kac
Published: 2012-10-05
- arxiv-id: 1207.6286v4 [Abstract, pdf]
Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
Published: 2012-07-26
Journal Reference: Comm. Math. Phys. 323 (2013), n. 2, 663-711
- arxiv-id: 1206.4165v1 [Abstract, pdf]
Rational matrix pseudodifferential operators
Sylvain Carpentier, Alberto De Sole, Victor G. Kac
Published: 2012-06-19
Journal Reference: Selecta Mathematica (2013)
- arxiv-id: 1201.1992v1 [Abstract, pdf]
Some algebraic properties of differential operators
Sylvain Carpentier, Alberto De Sole, Victor G. Kac
Published: 2012-01-10
Journal Reference: J. Math. Phys. 53, 063501 (2012)
- arxiv-id: 1109.4501v2 [Abstract, pdf]
On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces
Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi, Marco Pasquali
Published: 2011-09-21
Journal Reference: Selecta Mathematica, Vol.19, Issue 2 (2013), 399-437
- arxiv-id: 1106.5882v1 [Abstract, pdf]
Essential variational Poisson cohomology
Alberto De Sole, Victor G. Kac
Published: 2011-06-29
Journal Reference: Communications in Mathematical Physics: Volume 313, Issue 3 (2012), Page 837-864
- arxiv-id: 1106.0082v2 [Abstract, pdf]
The variational Poisson cohomology
Alberto De Sole, Victor G. Kac
Published: 2011-06-01
Journal Reference: Japan. J. Math. 8 (2013), 1-145
- arxiv-id: 1105.5777v3 [Abstract, pdf]
Irreducible representations of Yangians
Sergey Khoroshkin, Maxim Nazarov, Paolo Papi
Published: 2011-05-29
Journal Reference: Journal of Algebra 346 (2011) 189-226
- arxiv-id: 1102.3785v3 [Abstract, pdf]
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs
Maria Gorelik, Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi
Published: 2011-02-18
Journal Reference: Japanese Journal of Mathematics M Vol. 7, Issue 1 (2012), 41-134
- arxiv-id: 1007.3707v1 [Abstract, pdf]
Calculus structure on the Lie conformal algebra complex and the variational complex
Alberto De Sole, Pedram Hekmati, Victor Kac
Published: 2010-07-21
Journal Reference: J. Math. Phys. 52 (2011), no. 5, 053510
- arxiv-id: 1005.1489v3 [Abstract, pdf]
Lagrangian phase transitions in nonequilibrium thermodynamic systems
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2010-05-10
- arxiv-id: 1004.5387v3 [Abstract, pdf]
On classification of Poisson vertex algebras
Alberto De Sole, Victor Kac, Minoru Wakimoto
Published: 2010-04-29
Journal Reference: Transform.Groups 15, 883-907, 2010
- arxiv-id: 1004.2225v1 [Abstract, pdf]
Action functional and quasi-potential for the Burgers equation in a bounded interval
Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio, Claudio Landim
Published: 2010-04-13
Journal Reference: Comm. Pure Appl. Math., 64 (2011) 649-696
- arxiv-id: 0907.1275v2 [Abstract, pdf]
Poisson vertex algebras in the theory of Hamiltonian equations
Aliaa Barakat, Alberto De Sole, Victor G. Kac
Published: 2009-07-07
Journal Reference: Jpn. J. Math. 4 (2009), no. 2, 141-252
- arxiv-id: 0812.4897v1 [Abstract, pdf]
Lie conformal algebra cohomology and the variational complex
Alberto De Sole, Victor Kac
Published: 2008-12-29
Journal Reference: Comm. Math. Phys. 292, no. 3, 667-719 (2009)
- arxiv-id: 0807.4457v2 [Abstract, pdf]
Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2008-07-28
Journal Reference: J Stat Phys (2009) 135: 857-872
- arxiv-id: 0710.2281v2 [Abstract, pdf]
Non-linear Lie conformal algebras with three generators
Bojko Bakalov, Alberto De Sole
Published: 2007-10-11
Journal Reference: Selecta Math.14, 163-198, 2009
- arxiv-id: 0705.2996v1 [Abstract, pdf]
On the long range correlations of thermodynamic systems out of equilibrium
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2007-05-21
- arxiv-id: 0705.1247v1 [Abstract, pdf]
Stochastic interacting particle systems out of equilibrium
L. Bertini, A. De Sole, D. Gabrielli, G. Jona--Lasinio, C. Landim
Published: 2007-05-09
Journal Reference: J. Stat. Mech. Theory Exp., (2007) P07014
- arxiv-id: math/0602557v1 [Abstract, pdf]
Large deviation approach to non equilibrium processes in stochastic lattice gases
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2006-02-24
Journal Reference: Bull Braz Math Soc, New Series (2006) 37, 611-643
- arxiv-id: math/0512394v1 [Abstract, pdf]
Large deviations of the empirical current in interacting particle systems
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2005-12-16
Journal Reference: Theory Probab. Appl. (2007) 51, 2-27
- arxiv-id: math-ph/0511055v3 [Abstract, pdf]
Finite vs. affine W-algebras
Alberto De Sole, Victor Kac
Published: 2005-11-16
Journal Reference: Jpn. J. Math. 1 (2006), no. 1, 137-261
- arxiv-id: cond-mat/0506664v1 [Abstract, pdf]
Non equilibrium current fluctuations in stochastic lattice gases
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2005-06-24
Journal Reference: J. Stat. Phys. (2006) 123, 237-276
- arxiv-id: cond-mat/0407161v2 [Abstract, pdf]
Macroscopic current fluctuations in stochastic lattice gases
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2004-07-07
Journal Reference: Phys. Rev. Lett. (2005) 94, 030601
- arxiv-id: math-ph/0312042v3 [Abstract, pdf]
Freely generated vertex algebras and non-linear Lie conformal algebras
Alberto De Sole, Victor Kac
Published: 2003-12-15
Journal Reference: Comm. Math. Phys. 254 (2005), no. 3, 659-694
- arxiv-id: cond-mat/0310072v1 [Abstract, pdf]
Minimum dissipation principle in stationary non equilibrium states
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2003-10-03
Journal Reference: J. Statist. Phys. (2004) 116, 831-841
- arxiv-id: cond-mat/0307280v1 [Abstract, pdf]
Large deviations for the boundary driven symmetric simple exclusion process
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2003-07-11
Journal Reference: Math. Phys. Anal. Geom. (2003) 6, 231-267
- arxiv-id: math/0302032v1 [Abstract, pdf]
On integral representations of q-gamma and q-beta functions
Alberto De Sole, Victor Kac
Published: 2003-02-04
Journal Reference: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl., 16 (2005) 11-29
- arxiv-id: math-ph/0112028v1 [Abstract, pdf]
Subalgebras of $\gc_N$ and Jacobi polynomials
Alberto De Sole, Victor G. Kac
Published: 2001-12-13
Journal Reference: Canad. Math. Bull. 45 (2002), no. 4, 567-605
- arxiv-id: cond-mat/0108040v2 [Abstract, pdf]
Macroscopic fluctuation theory for stationary non equilibrium states
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2001-08-02
Journal Reference: J. Stat. Phys. 107 (2002), 635-675
- arxiv-id: cond-mat/0104153v1 [Abstract, pdf]
Fluctuations in Stationary non Equilibrium States
L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim
Published: 2001-04-09
Journal Reference: Phys. Rev. Lett. 87 (2001), 040601