The peak algebra and the Hecke-Clifford algebras at $q=0$

Details The peak algebra and the Hecke-Clifford algebras at $q=0$ The peak algebra and the Hecke-Clifford algebras at $q=0$

2003-04-15

arxiv.org/abs/math/0304191v2

J. Combin. Theory Ser. A 107 (2004), no. 1, 1-19.

Mathematics

Combinatorics

Final version, 17 pages, LaTex, 1 PDF figure, graphicx

Scientific paper

Using the formalism of noncommutative symmetric functions, we derive the
basic theory of the peak algebra of symmetric groups and of its graded Hopf
dual. Our main result is to provide a representation theoretical interpretation
of the peak algebra and its graded dual as Grothendieck rings of the tower of
Hecke-Clifford algebras at $q=0$.

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