Irreducible representations of quantum solvable algebras at roots of 1

Panov, A.

doi:10.1090/S1061-0022-04-00825-8

Irreducible representations of quantum solvable algebras at roots of 1
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by A. N. Panov
Translated by: the author

St. Petersburg Math. J. 15 (2004), 603-623

DOI: https://doi.org/10.1090/S1061-0022-04-00825-8

Published electronically: July 7, 2004

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Abstract:

The relationship between the irreducible representations of quantum solvable algebras at roots of 1 and the points of the variety of the center is studied. The quiver of the fiber algebra is characterized, and formulas for the dimension and for the number of the irreducible representations that lie over a point of the center variety are presented.

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