Fields of fractions of quantum solvable algebras

Authors
Panov, A
Citation
A. Panov, Fields of fractions of quantum solvable algebras, J ALGEBRA, 236(1), 2001, pp. 110-121
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
236
Issue
1
Year of publication
2001
Pages
110 - 121
Database
ISI
SICI code
0021-8693(20010201)236:1<110:FOFOQS>2.0.ZU;2-X
Abstract
We introduce the notion of pure Q-solvable algebra. The quantum matrices, q uantum Weyl algebra, U-q(n) are the examples. It is proved that the skew fi eld of fractions of a pure e-solvable algebra R is isomorphic to the skew f ield of twisted rational functions. This is a quantum version of the Gelfan d-Kirillov conjecture for solvable algebraic Lie algebras. (C) 2001 Academi c Press.