Representations of quantum orders

A. N. Panov

Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 2, pp. 157-167.

Résumé

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.

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