dorsal/arxiv
View SchemaDrinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case
| Authors | M. A. Semenov-Tian-Shansky, A. V. Sevostyanov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702016 |
| URL | https://arxiv.org/abs/q-alg/9702016 |
| DOI | 10.1007/s002200050312 |
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.
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"abstract": "The paper is the sequel to q-alg/9704011. We extend the Drinfeld-Sokolov\nreduction procedure to q-difference operators associated with arbitrary\nsemisimple Lie algebras. This leads to a new elliptic deformation of the Lie\nbialgebra structure on the associated loop algebra. The related classical\nr-matrix is explicitly described in terms of the Coxeter transformation. We\nalso present a cross-section theorem for q-gauge transformations which\ngeneralizes a theorem due to R.Steinberg.",
"arxiv_id": "q-alg/9702016",
"authors": [
"M. A. Semenov-Tian-Shansky",
"A. V. Sevostyanov"
],
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"q-alg",
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"doi": "10.1007/s002200050312",
"title": "Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case",
"url": "https://arxiv.org/abs/q-alg/9702016"
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