Elements of a General Algebraic Theory of Standard Tableaux

Michael Clausen ()
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Michael Clausen: Universität Bonn, Institut für Informatik V

A chapter in Algebraic Combinatorics and Applications, 2001, pp 67-78 from Springer

Abstract: Abstract 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.

Keywords: Irreducible Representation; Conjugacy Class; Symmetric Group; Solvable Group; Irreducible Character (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_4

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DOI: 10.1007/978-3-642-59448-9_4

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