Manfred Schocker:

Multiplicities of Higher Lie Characters

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

Bibliographical note: J. Austral. Math. Soc. 75 (2003), 9-21

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[Thu Feb 19 18:56:35 2009]

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