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Noncommutative character theory of the symmetric groups. (Nichtkommutative Charaktertheorie der symmetrischen Gruppen.) (German) Zbl 0931.20013

Summary: A new approach to the classical theory of characters of symmetric groups is given. The crucial point is to consider a noncommutative bialgebra based on the concept of Young tableaux. Formerly difficult results like the theorems of Murnaghan-Nakayama and Littlewood-Richardson are reduced to simple calculations.

MSC:

20C30 Representations of finite symmetric groups
05E10 Combinatorial aspects of representation theory
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
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