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Supercharacter formulas for pattern groups
Author(s):
Persi
Diaconis;
Nathaniel
Thiem
Journal:
Trans. Amer. Math. Soc.
361
(2009),
3501-3533.
MSC (2000):
Primary 20C99, 05Exx
Posted:
March 4, 2009
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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  . 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.
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Additional Information:
Persi
Diaconis
Affiliation:
Department of Mathematics, Stanford University, Stanford, California 94305-4065
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
DOI:
10.1090/S0002-9947-09-04521-8
PII:
S 0002-9947(09)04521-8
Keywords:
Supercharacters,
superclasses,
finite unipotent group,
algebra group,
posets
Received by editor(s):
October 5, 2006
Received by editor(s) in revised form:
March 1, 2007
Posted:
March 4, 2009
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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