Properties of the Solomon homomorphism

Details Properties of the Solomon homomorphism Properties of the Solomon homomorphism

2003-02-25

arxiv.org/abs/math/0302309v1

Mathematics

Representation Theory

33 pages

Scientific paper

Let W be a finite Coxeter group. In this paper, we show that the properties
of the Solomon algebra homomorphism Phi (from the Solomom descent algebra to
the algebra of class functions) are strongly related to enumerative results:
certain joint statistics on W may be enumerated by the scalar products of
appropriate characters.

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