Multiplicities of Higher Lie Characters-Reference-Cited by-同舟云学术

Multiplicities of Higher Lie Characters

Published:2003-08 Issue:1 Volume:75 Page:9-21
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Schocker Manfred

Abstract

AbstractThe higher Lie characters of the symmetric group Sn arise from the Poincaré-Birkhoff-Witt basis of the free associative algebra. They are indexed by the partitions of n and sum up to the regular character of Sn. A combinatorial description of the multiplicities of their irreducible components is given. As a special case the Kraśkiewicz-Weyman result on the multiplicities of the classical Lie character is obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. Treue Darstellung Liescher Ringe;Witt;J. Reine Angew. Math.,1937

2. [14] Schur I. , ‘Über die rationalen Darstellungen der allgemeinen linearen Gruppe’, Sitzungsber. Pr. Akad. Wiss. (1927), 58–75.

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