Applies chiral cluster seeds to deformed W-algebras, introduces W_{q,t}^sub(sl(N)), and constructs embeddings viewed as deformed inverse quantum Hamiltonian reduction.
Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The paper is the sequel to q-alg/9704011. We extend the Drinfeld-Sokolov reduction procedure to q-difference operators associated with arbitrary semisimple Lie algebras. This leads to a new elliptic deformation of the Lie bialgebra structure on the associated loop algebra. The related classical r-matrix is explicitly described in terms of the Coxeter transformation. We also present a cross-section theorem for q-gauge transformations which generalizes a theorem due to R.Steinberg.
fields
math.QA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Deformed W-algebras and chiralized cluster seeds: subregular W-algebras and Inverse Quantum Hamiltonian Reduction
Applies chiral cluster seeds to deformed W-algebras, introduces W_{q,t}^sub(sl(N)), and constructs embeddings viewed as deformed inverse quantum Hamiltonian reduction.