Representations of quantum orders

Abstract

We study finite dimensional algebras that appear as fibers of quantum orders over a given point of variety of center. We present the formula for the number of irreducible representations and check it for it for the algebra of twisted polynomials, the quantum Weyl algebra and the algebra of regular functions on quantum group.

9 pages

References in corpus (2)

• Prime spectra of quantized coordinate rings
• Quantum solvable algebras. Ideals and representations at roots of 1