Irreducible representations of quantum solvable algebras at roots of 1
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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.References
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Bibliographic Information
- A. N. Panov
- Affiliation: Mathematical Department, Samara State University, Ul. Akad. Pavlova 1, Samara 443011, Russia
- Email: panov@ssu.samara.ru
- Received by editor(s): February 10, 2003
- Published electronically: July 7, 2004
- Additional Notes: Supported by RFBR (grant no. 02-01-00017).
- © Copyright 2004 American Mathematical Society
- Journal: St. Petersburg Math. J. 15 (2004), 603-623
- MSC (2000): Primary 81R50
- DOI: https://doi.org/10.1090/S1061-0022-04-00825-8
- MathSciNet review: 2068985