Classical and Quantum $${\mathcal {W}}$$-Algebras and Applications to Hamiltonian Equations
DOI10.1007/978-3-030-32906-8_6zbMath1448.37083OpenAlexW2989969964MaRDI QIDQ3294647
Publication date: 29 June 2020
Published in: Springer INdAM Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-32906-8_6
Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) 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) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)
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