Deformations of the classical W-algebras associated to D_n, E₆ and G₂

1997/10/23 by Alexander Kogan, Kogan, Alexander
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9710027

10 pages, LaTeX2e

arxiv created 1997/10/23 · arxiv updated 2009/11/30

Abstract

We give explicit formulas for the generators of q-deformed W-algebras associated to Lie algebras D_n, E₆ and G₂, and compute the Poisson brackets between the generators.

Related

• Extensions of deformed W-algebras via qq-characters
• Deformations of W-algebras associated to simple Lie algebras
• W- algebras and Duflo Isomorphism
• The structure of q-W algebras
• The Poisson geometry of the conjugation quotient map for simple algebraic groups and deformed Poisson W-algebras