Fields of fractions of quantum solvable algebras
Quantum Algebra
2007-05-23 v3
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.
Keywords
Cite
@article{arxiv.math/9906060,
title = {Fields of fractions of quantum solvable algebras},
author = {A. N. Panov},
journal= {arXiv preprint arXiv:math/9906060},
year = {2007}
}
Comments
Latex, 9 pages