10.17192/z2012.0468
Randriamaro, Hery
Hery
Randriamaro
Diagonalizability of elements of a group algebra
Diagonalisierung der Elemente einer Gruppenalgebra
Philipps-Universität Marburg
2012
Kombinatorische Algebra
Mathematics
Mathematik
Gruppenalgebra
Kombinatorik
Descent Algebra
Descent Algebra
Group Algebra
Representation Theory
Darstellungstheorie
Welker, Volkmar (Prof. Dr.)
Mathematik und Informatik
2022-03-11
2012-05-18
en
DoctoralThesis
https://archiv.ub.uni-marburg.de/diss/z2012/0468
urn:nbn:de:hebis:04-z2012-04681
https://archiv.ub.uni-marburg.de/diss/z2012/0468/cover.png
application/pdf
https://rightsstatements.org/vocab/InC-NC/1.0/
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.