Quantum solvable algebras. Ideals and representations at roots of 1

2001/05/30 by A. N. Panov, Panov, A. N.
Mathematics · #16G10 #17B37 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16G10 #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0105250

Latex, 24 pages

arxiv created 2002/05/20 · arxiv updated 2009/11/30

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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