FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 2, PAGES 157-167

Representations of quantum orders

A. N. Panov

Abstract

View as HTML     View as gif image

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.

Location: http://mech.math.msu.su/~fpm/eng/k05/k052/k05211h.htm
Last modified: June 9, 2005