Diagonalizability of elements of a group algebra
Let G be a group and K a fields of characteristic 0. Let f be an element of the group algebra K[G]. Let X(f) be the matrix of the left-multiplication action of f on K[G]. We determine the eigenvalues and their multiplicities of X(f) when f is a central element of G, when f is an element of the desce...
Bewaard in:
Hoofdauteur: | |
---|---|
Andere auteurs: | |
Formaat: | Dissertation |
Taal: | Engels |
Gepubliceerd in: |
Philipps-Universität Marburg
2012
|
Onderwerpen: | |
Online toegang: | PDF Full text |
Tags: |
Voeg label toe
Geen labels, Wees de eerste die dit record labelt!
|
Samenvatting: | Let G be a group and K a fields of characteristic 0. Let f be an element of the group algebra K[G]. Let X(f) be the matrix of the left-multiplication action of f on K[G]. We determine the eigenvalues and their multiplicities of X(f) when f is a central element of G, when f is an element of the descent algebra of K[G] for a coxeter group G, and when f is a special element of K[G] for a symmetric group G. |
---|---|
DOI: | 10.17192/z2012.0468 |