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Spectra of Symmetrized Shuffling Operators Book PDF Summary

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.

Detail Book of Spectra of Symmetrized Shuffling Operators PDF

Spectra of Symmetrized Shuffling Operators
  • Author : Victor Reiner
  • Release : 05 March 2014
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821890950
  • Genre : Mathematics
  • Total Page : 121 pages
  • Language : English
  • PDF File Size : 18,8 Mb

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