Dynamical Weyl groups and applications

2000/11/01 by Pavel Etingof, Etingof, Pavel, Alexander Varchenko +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0011001

45 pages, latex

arxiv created 2000/11/01 · arxiv updated 2009/11/30

Abstract

Following a preceding paper of Tarasov and the second author, we define and study a new structure, which may be regarded as the dynamical analogue of the Weyl group for Lie algebras and of the quantum Weyl group for quantized enveloping algebras. We give some applications of this new structure.

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