hal-00143356, version 1
A Solomon descent theory for the wreath products G ~ S_n
(2005-03-01)
Abstract: We propose an analogue of Solomon's descent theory for the case of a wreath product G ~ S_n, where G is a finite abelian group. Our construction mixes a number of ingredients: Mantaci-Reutenauer algebras, Specht's theory for the representations of wreath products, Okada's extension to wreath products of the Robinson-Schensted correspondence, Poirier's quasisymmetric functions. We insist on the functorial aspect of our definitions and explain the relation of our results with previous work concerning the hyperoctaedral group.
- 1:
- CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
- 2:
- Ontario Ministry of Training, Colleges and Universities and NSERC
- Domain : Mathematics/Combinatorics
Mathematics/Rings and Algebras - Keywords : wreath products – Solomon descent algebra – quasisymmetric functions
- hal-00143356, version 1
- http://hal.archives-ouvertes.fr/hal-00143356
- oai:hal.archives-ouvertes.fr:hal-00143356
- From:
- Submitted on: Wednesday, 25 April 2007 13:10:44
- Updated on: Wednesday, 1 October 2008 15:05:48
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