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math.QA2001
Stratification of prime spectrum of quantum solvable algebras
A. N. Panov
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 natu…
math.QA2001
Quantum solvable algebras. Ideals and representations at roots of 1
A. N. Panov
There studed correspondence between symplectic leaves, irreducible representations and prime ideals, which is invariant with respect to quantum adjoint action. The Conjecture of De…
math.QA1999
Fields of fractions of quantum solvable algebras
A. N. Panov
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-sol…