Fields of fractions of quantum solvable algebras

1999/06/10 by A. N. Panov, А. Н. Панов, Panov, A. N.
Mathematics · #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Rings, Modules, and Algebras #math.QA #msc:17B37

paper · pdf · doi:10.48550/arxiv.math/9906060

Latex, 9 pages

openalex publication_date 1999/06/10 · arxiv created 1999/11/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of pure Q-solvable algebra. The quantum matrices, quantum Weyl algebra, U_q(n) are the examples. It is proved that the skew field of fractions of pure Q-solvable algebra is isomorphic to the skew field of twisted rational functions. This is the quantum version of Gelfand-Kirillov conjecture for solvable algebraic Lie algebras.

Related

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• Representation of Quantum Algebras and q-Special Functions
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