Spectra of symmetrized shuffling operators
Author(s)
Bibliographic Information
Spectra of symmetrized shuffling operators
（Memoirs of the American Mathematical Society, no. 1072）
American Mathematical Society, c2013
Available at / 10 libraries
-
No Libraries matched.
- Remove all filters.
Note
"March 2014, volume 228, number 1072 (fourth of 5 numbers)."
Includes bibliographical references (p. 99-102) and index
Description and Table of Contents
Description
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.
Table of Contents
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
by "Nielsen BookData"
