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Fields of Fractions of Quantum Solvable Algebras

✍ Scribed by A Panov

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 111 KB
Volume: 236
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8463

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✦ Synopsis

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

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