The paper constructs q-W-algebras using Zhelobenko operators and proves the De Concini-Kac-Procesi conjecture on dimensions of irreducible modules for quantum groups at roots of unity.
W., Reiner, I., Representation theory of finite group s and associative algebras, Interscience Pub- lishers (1962)
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Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture
The paper constructs q-W-algebras using Zhelobenko operators and proves the De Concini-Kac-Procesi conjecture on dimensions of irreducible modules for quantum groups at roots of unity.