2001 | OriginalPaper | Buchkapitel
Elements of a General Algebraic Theory of Standard Tableaux
verfasst von : Michael Clausen
Erschienen in: Algebraic Combinatorics and Applications
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We introduce the class of groups having a multiplicity-free character graph (MC-groups). This class includes both the class of symmetric and the class of solvable groups. We show that every MC-group has an Sn-like representation theory with generalized standard tableaux as main combinatorial objects. As an illustration, we give a detailed description of the irreducible representations of supersolvable groups.