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...

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Bibliographic Details
Main Author: Randriamaro, Hery
Contributors: Welker, Volkmar (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Published: Philipps-Universität Marburg 2012
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Call Number: urn:nbn:de:hebis:04-z2012-04681
Publication Date: 2012-05-18
Date of Acceptance: 2012-04-11
Downloads: 147 (2022), 47 (2021), 23 (2020), 27 (2019), 8 (2018)
License: According to UrhG § 31 (2), the author has granted the University Library Marburg the right of use for electronic publication on the Internet and for archiving on its archive server. He has declared that with the granting of the right of use according to UrhG § 31 (3) no exclusive rights of third parties are violated. All other rights for the exploitation of the publication remain with the author. https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2012/0468