GROUP PARTITION AND SYSTEMS OF ORTHOGONAL IDEMPOTENTS

Citation
Ys. Zhang et al., GROUP PARTITION AND SYSTEMS OF ORTHOGONAL IDEMPOTENTS, Linear algebra and its applications, 278(1-3), 1998, pp. 249-262
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
278
Issue
1-3
Year of publication
1998
Pages
249 - 262
Database
ISI
SICI code
0024-3795(1998)278:1-3<249:GPASOO>2.0.ZU;2-X
Abstract
Orthogonal systems of idempotents are applicable to Physics, Chemistry and other areas of Mathematics. Given a finite group G, and a set par tition {[theta(1)], [theta(2)], ..., [theta(k)]} of G, we present a me thod that is sometimes successful in constructing a system of orthogon al idempotents that are constant on {[theta(1)], [theta(2)], ..., [the ta(k)]}. The functions are an extension of the irreducible character o f finite group. (C) 1998 Elsevier Science Inc. All rights reserved.