Irreducible representations of quantum solvable algebras at roots of 1

2003/05/27 by A. N. Panov, А. Н. Панов, Panov, A. N.
Mathematics · Physics and Astronomy · #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/0305376

23 pages

arxiv created 2003/05/27 · openalex publication_date 2003/05/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the irreducible representations of quantum solvable algebras at roots of 1 which lie over a point of the variety of center. We characterize the quiver of fiber algebra and present the formulas on the dimension and the number of these representations in terms of Poisson structure of the variety of center.

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