Fields of fractions of quantum solvable algebras

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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.
Latex, 9 pages

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Quantum Algebra, 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/78633

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906060
 http://arxiv.org/abs/math/9906060

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arXiv