On classical finite and affine W-algebras

Abstract

This paper is meant to be a short review and summary of recent results on the structure of finite and affine classical W-algebras, and the application of the latter to the theory of generalized Drinfeld-Sokolov hierarchies.

arXiv comment12 pages

References in corpus (11)

• Quantum Reduction for Affine Superalgebras
• Regular Conjugacy Classes in the Weyl Group and Integrable Hierarchies
• The variational Poisson cohomology
• Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras
• Quantization of Slodowy slices
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• Integrable Systems and W-Algebras

Cited by in corpus (4)

• The $Z_2\times Z_2$-graded general linear Lie superalgebra
• Classical W-algebras in types A, B, C, D and G
• Reduction method for representations of queer Lie superalgebras
• SUSY structures, representations and Peter-Weyl theorem for $S^{1|1}$