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Quantum solvable algebras. Ideals and representations at roots of 1

A. N. Panov
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Abstract

There studed correspondence between symplectic leaves, irreducible representations and prime ideals, which is invariant with respect to quantum adjoint action. The Conjecture of De Concini-Kac-Procesi on dimensions of irreducible representations is proved for sufficiently great $l$.

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A. N. Panov. 2002-05-20. Quantum solvable algebras. Ideals and representations at roots of 1. https://arxiv.org/abs/math/0105250

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