Fields of fractions of quantum solvable algebras

Details Fields of fractions of quantum solvable algebras Fields of fractions of quantum solvable algebras

1999-06-10

arxiv.org/abs/math/9906060v3

Mathematics

Quantum Algebra

Latex, 9 pages

Scientific paper

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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