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Fields of fractions of quantum solvable algebras

A. N. Panov
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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.

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A. N. Panov. 1999-11-09. Fields of fractions of quantum solvable algebras. https://arxiv.org/abs/math/9906060

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