Supercharacter formulas for pattern groups
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- by Persi Diaconis and Nathaniel Thiem PDF
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Abstract:
C. Andre and N. Yan introduced the idea of a supercharacter theory to give a tractable substitute for character theory in wild groups such as the unipotent uppertriangular group $U_n(\mathbb {F}_q)$. In this theory superclasses are certain unions of conjugacy classes, and supercharacters are a set of characters which are constant on superclasses. This paper gives a character formula for a supercharacter evaluated at a superclass for pattern groups and more generally for algebra groups.References
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Additional Information
- Persi Diaconis
- Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305-4065
- MR Author ID: 57595
- Nathaniel Thiem
- Affiliation: Department of Mathematics, Stanford University, 450 Serra Mall, Building 380, Stanford, California 94305-2125
- Address at time of publication: Department of Mathematics, University of Colorado, Campus Box 395, Boulder, Colorado 80309-0395
- Received by editor(s): October 5, 2006
- Received by editor(s) in revised form: March 1, 2007
- Published electronically: March 4, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 3501-3533
- MSC (2000): Primary 20C99, 05Exx
- DOI: https://doi.org/10.1090/S0002-9947-09-04521-8
- MathSciNet review: 2491890