Spectra of symmetrized shuffling operators
著者
書誌事項
Spectra of symmetrized shuffling operators
（Memoirs of the American Mathematical Society, no. 1072）
American Mathematical Society, c2013
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注記
"March 2014, volume 228, number 1072 (fourth of 5 numbers)."
Includes bibliographical references (p. 99-102) and index
内容説明・目次
内容説明
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.
目次
Introduction
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
Index
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