Spectra of Symmetrized Shuffling Operators 1
bokomslag Spectra of Symmetrized Shuffling Operators
Vetenskap & teknik

Spectra of Symmetrized Shuffling Operators

Victor Reiner • Franco Saliola • Volkmar Welker

Pocket

1669:-

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  • 109 sidor
  • 2014
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.
  • Författare: Victor Reiner, Franco Saliola, Volkmar Welker
  • Format: Pocket/Paperback
  • ISBN: 9780821890950
  • Språk: Engelska
  • Antal sidor: 109
  • Utgivningsdatum: 2014-04-30
  • Förlag: American Mathematical Society

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