Title of article
The peak algebra and the Hecke–Clifford algebras at q=0
Author/Authors
Bergeron، نويسنده , , Nantel and Hivert، نويسنده , , Florent and Thibon، نويسنده , , Jean-Yves، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
19
From page
1
To page
19
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 q=0.
Keywords
representations , Grothendieck rings , Peak algebra , Noncommutative Symmetric Functions , Hecke–Clifford algebra
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2004
Journal title
Journal of Combinatorial Theory Series A
Record number
1530904
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