Classical \(\mathcal W\)-algebras in types \(A\), \(B\), \(C\), \(D\) and \(G\)

DOI10.1007/s00220-014-2239-yzbMath1321.17020arXiv1403.1700OpenAlexW1605116455MaRDI QIDQ2018314

Eric Ragoucy, Alexander I. Molev

Publication date: 14 April 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1700

zbMATH Keywords

generatorLie algebradeterminantnilpotent elementPoisson vertex algebraW-algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Segal-Sugawara vectors for the Lie algebra of type \(G_2\) ⋮ Explicit generators in rectangular affine \(\mathcal {W}\)-algebras of type \(A\) ⋮ Structure of classical (finite and affine) \(\mathcal W\)-algebras ⋮ Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies ⋮ Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras ⋮ Generators of supersymmetric classical \(W\)-algebras ⋮ Eigenvalues of Bethe vectors in the Gaudin model ⋮ Classical \(\mathcal{W}\)-algebras for centralizers

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