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Supercharacters and pattern subgroups in the upper triangular groups
Published online by Cambridge University Press: 21 November 2012
Abstract
Let Un(q) denote the upper triangular group of degree n over the finite field with q elements. It is known that irreducible constituents of supercharacters partition the set of all irreducible characters Irr(Un(q)). In this paper we present a correspondence between supercharacters and pattern subgroups of the form Uk(q) ∩ wUk(q), where w is a monomial matrix in GLk(q) for some k < n.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 1 , February 2013 , pp. 177 - 186
- Copyright
- Copyright © Edinburgh Mathematical Society 2012
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