Stratification of prime spectrum of quantum solvable algebras
arXiv:math/0105131
Abstract
A quantum solvable algebra is an iterated -skew extension of a commutative algebra. We get finite statification of prime spectrum for quantum solvable algebras obeying some natural conditions. We prove that for any prime ideal the skew field of fractions is isomorphic to the skew field of fractions of an algebra of twisted polynomials (Quantum Gel'fand-Kirillov Conjecture).
Latex, 22p