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arxiv: math/0611236 · v1 · pith:L27NOCIGnew · submitted 2006-11-08 · 🧮 math.QA · math.RT

Proof of the De Concini-Kac-Procesi conjecture

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keywords conjecturemathcalcitecodimconciniconcini-kac-procesiconjcorollary
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In this paper we prove a conjecture by De Concini, Kac and Procesi \cite{CP} (Corollary \ref{conj}): The dimension of any $M\in U_q-\mood^\chi$ is divisible by $l^{codim_\mathcal{B}\mathcal{B}_\chi}$.

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

    math.QA 2021-02 unverdicted novelty 6.0

    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.