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

Research output: Working paper

6 Downloads (Pure)

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.
Original languageEnglish
PublisherArXiv
Number of pages194
Publication statusPublished - 5 Feb 2021

Keywords

  • math.QA
  • math.RT
  • 17B37
  • 20G42
  • 20G15

Fingerprint Dive into the research topics of 'Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture'. Together they form a unique fingerprint.

Cite this