## PhD research topic - Alberto DE SOLE

#### Research areas

Lie Algebras, representation theory

#### Keywords

Vertex algebras, Poisson vertex algebras, integrable Hamiltonian systems, W-algebras

#### Research topics

[DS85] Drinfeld V.G., Sokolov V.V., Lie algebras and equations of KdV type, Soviet J. Math. 30 (1985), 1975-2036

[Dick03] Dickey L. A., Soliton equations and Hamiltonian systems, Advanced series in mathematical physics, World scientific, Vol. 26, 2nd Ed., 2003

[BDSK06] Barakat A., De Sole A., Kac V. G., Poisson vertex algebras in the theory of Hamiltonian equations, Japan. J. Math. 4 (2009), n.2, 141-252

[DSKV13] De Sole A., Kac V. G., Valeri D., Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras, Comm. Math. Phys. 323 (2013), n.2, 663-711

[DSKV] De Sole A., Kac V. G., Valeri D., Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras, Comm. Math. Phys. 323 (2013), n.2, 663-711