Classical W-algebras within the theory of Poisson vertex algebras

DOI10.1007/978-3-319-02952-8_12zbMath1344.17024OpenAlexW630150195MaRDI QIDQ5172187

Daniele Valeri

Publication date: 13 February 2015

Published in: Advances in Lie Superalgebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02952-8_12

zbMATH Keywords

Poisson vertex algebraLenard-Magri schemeDrinfeld-Sokolov Hamiltonian reductionclassical \(\mathcal W\)-algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20)

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