Descent representations and multivariate statistics

R.M. Adin, F. Brenti, Y. Roichman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Combinatorial identities on Weyl groups of types and are derived from special bases of the corresponding coinvariant algebras. Using the Garsia-Stanton descent basis of the coinvariant algebra of type we give a new construction of the Solomon descent representations. An extension of the descent basis to type , using new multivariate statistics on the group, yields a refinement of the descent representations. These constructions are then applied to refine well-known decomposition rules of the coinvariant algebra and to generalize various identities.
Original languageAmerican English
Title of host publicationConference in Formal Power Series and Algebraic Combinatorics
EditorsR. Brak, O. Foda, C. Greenhill, T. Gutman, A. Owczarek
StatePublished - 2002

Bibliographical note

Place of conference:University of Melbourne, Australia


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