Rains, Eric M. and Vazirani, Monica J. (2013) Deformations of permutation representations of Coxeter groups. Journal of Algebraic Combinatorics, 37 (3). pp. 455-502. ISSN 0925-9899. doi:10.1007/s10801-012-0371-3. https://resolver.caltech.edu/CaltechAUTHORS:20130426-134058196
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Abstract
The permutation representation afforded by a Coxeter group W acting on the cosets of a standard parabolic subgroup inherits many nice properties from W such as a shellable Bruhat order and a flat deformation over ℤ[q] to a representation of the corresponding Hecke algebra. In this paper we define a larger class of “quasiparabolic” subgroups (more generally, quasiparabolic W-sets), and show that they also inherit these properties. Our motivating example is the action of the symmetric group on fixed-point-free involutions by conjugation.
Item Type: | Article | |||||||||||||||
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Additional Information: | © 2012 Springer Science+Business Media, LLC. Received: 26 January 2011. Accepted: 6 April 2012. Published online: 28 April 2012. First author partially supported by NSF grant DMS-0833464. Second author partially supported by NSA grant H982300910076, and by Caltech and DMS-0833464 during her visits. | |||||||||||||||
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Subject Keywords: | Coxeter group; Permutation representation; Hecke algebra; Bruhat order | |||||||||||||||
Issue or Number: | 3 | |||||||||||||||
DOI: | 10.1007/s10801-012-0371-3 | |||||||||||||||
Record Number: | CaltechAUTHORS:20130426-134058196 | |||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130426-134058196 | |||||||||||||||
Official Citation: | Deformations of permutation representations of Coxeter groups Eric M. Rains, Monica J. Vazirani pp.455-502 | |||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||||||||
ID Code: | 38136 | |||||||||||||||
Collection: | CaltechAUTHORS | |||||||||||||||
Deposited By: | Ruth Sustaita | |||||||||||||||
Deposited On: | 26 Apr 2013 21:08 | |||||||||||||||
Last Modified: | 09 Nov 2021 23:33 |
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