The peak algebra and the Hecke-Clifford algebras at $q=0$
Combinatorics
2016-11-08 v2
Abstract
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 .
Keywords
Cite
@article{arxiv.math/0304191,
title = {The peak algebra and the Hecke-Clifford algebras at $q=0$},
author = {Nantel Bergeron and Florent Hivert and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:math/0304191},
year = {2016}
}
Comments
Final version, 17 pages, LaTex, 1 PDF figure, graphicx