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arXiv · 2102.03208

Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture

Alexey Sevostyanov
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Abstract

This monograph, along with a self-consistent presentation of the theory of q-W-algebras including the construction of algebraic group analogues of Slodowy slices, contains a description of q-W-algebras in terms of Zhelobenko type operators introduced in the book. This description is applied to prove the De Concini-Kac-Procesi conjecture on the dimensions of irreducible modules over quantum groups at roots of unity.

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Alexey Sevostyanov. 2021-02-05. Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture. https://arxiv.org/abs/2102.03208

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