Discrete Series Characters for GL(n, q)

Author: Green J.A.

Source: Algebras and Representation Theory, Volume 2, Number 1, March 1999 , pp. 61-82(22)

Publisher: Springer

Abstract:

The `discrete series' characters of the finite general linear group GL(n, q) are expressed as uniquely defined integral linear combinations of characters induced from linear characters on certain subgroups Hd, n of GL(n, q). The coefficients in these linear combinations are determined (for all n, q) by a family of polynomials r(T) Z[T] indexed by the set of all partitions .

Keywords: character; discrete series; finite general linear group

Language: English

Document Type: Regular paper

Affiliations: 1: 119 Cumnor Hill, Oxford OX2 9JA, England

Publication date: 1999-03-01

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