Item type:Doctoral Thesis, Open Access

Diagonalizability of elements of a group algebra

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Date

2012-05-18

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Philipps-Universität Marburg
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Abstract

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.

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Dates
Created: 2012Issued: 2012-05-18Updated: 2022-03-11
DOI
https://doi.org/10.17192/z2012.0468
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
eng
Data types
DoctoralThesis
Keywords
Descent AlgebraDarstellungstheorieGruppenalgebraCombinatoricsGroup AlgebraRepresentation TheoryDescent AlgebraRepresentation theory
DFG-subjects
Kombinatorische AlgebraKombinatorik
DDC-Numbers
510
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https://rightsstatements.org/vocab/InC-NC/1.0/
URI
https://open.uni-marburg.de/handle/10.17192/z2012.0468
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Randriamaro, Hery (021654868): Diagonalizability of elements of a group algebra. : Philipps-Universität Marburg 2012-05-18. DOI: https://doi.org/10.17192/z2012.0468.

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