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 language | English |
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Publisher | ArXiv |
Number of pages | 194 |
Publication status | Published - 5 Feb 2021 |
Keywords
- math.QA
- math.RT
- 17B37
- 20G42
- 20G15