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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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| Médium: | Dissertation |
| Jazyk: | angličtina |
| Vydáno: |
Philipps-Universität Marburg
2012
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| On-line přístup: | Plný text ve formátu PDF |
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| Shrnutí: | 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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| DOI: | 10.17192/z2012.0468 |