Representations of quantum orders

Author: Panov A.  

Publisher: Springer Publishing Company

ISSN: 1072-3374

Source: Journal of Mathematical Sciences, Vol.142, Iss.2, 2007-04, pp. : 1969-1976

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Abstract

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