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Overview"For a finite real reflection group W and a W -orbit O of flats in its reflection arrangement - or equivalently a conjugacy class of its parabolic subgroups - the authors introduce a statistic noninv O (w) on w in W that counts the number of """"O -noninversions"""" of w . This generalises the classical (non-)inversion statistic for permutations w in the symmetric group S n. The authors then study the operator ? O of right-multiplication within the group algebra CW by the element that has noninv O (w) as its coefficient on w." Full Product DetailsAuthor: Victor Reiner , Franco Saliola , Volkmar WelkerPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 228, 1072 Weight: 0.456kg ISBN: 9780821890950ISBN 10: 0821890956 Pages: 109 Publication Date: 30 April 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction Defining the operators The case where O contains only hyperplanes Equivariant theory of BHR random walks The family ? (2 k ,1 n?2k) The original family ? (k,1 n?k) Acknowledgements Appendix A. G n -module decomposition of ? (k,1 n?k) Bibliography List of Symbols IndexReviewsAuthor InformationVictor Reiner, University of Minnesota, Minneapolis, Minnesota. Franco Saliola, Universite du Quebec a Montreal, Canada. Volkmar Welker, Philipps-Universitaet Marburg, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
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