Spectra of Symmetrized Shuffling Operators
Download or Read eBook Spectra of Symmetrized Shuffling Operators PDF written by Victor Reiner and published by American Mathematical Soc.. This book was released on 2014-03-05 with total page 121 pages. Available in PDF, EPUB and Kindle.
| Author | : Victor Reiner |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 121 |
| Release | : 2014-03-05 |
| ISBN-10 | : 9780821890950 |
| ISBN-13 | : 0821890956 |
| Rating | : 4/5 (50 Downloads) |
Book Synopsis Spectra of Symmetrized Shuffling Operators by : Victor Reiner
Book excerpt: 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.
