Spectra of symmetrized shuffling operators / Reiner, Victor.

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Bibliographic Details
Main Author: Reiner, Victor
Other Authors: Saliola, Franco, Welker, Volkmar
Format: eBook
Language:English
Published: [Place of publication not identified] : [publisher not identified], 2014.
Series:Memoirs of the American Mathematical Society.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Reiner, Victor. 
245 1 0 |a Spectra of symmetrized shuffling operators /  |c Reiner, Victor. 
260 |a [Place of publication not identified] :  |b [publisher not identified],  |c 2014. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society ;  |v v. 228 
500 |a Title from content provider. 
505 0 |a ""Contents""; ""Chapter I. Introduction""; ""1. The original family of matrices""; ""2. Using the -action""; ""3. An eigenvalue integrality principle""; ""4. A broader context, with more surprises""; ""5. Outline of the paper""; ""Chapter II. Defining the operators""; ""1. Hyperplane arrangements and definition of _{ }""; ""2. Semidefiniteness""; ""3. Equivariant setting""; ""4. â??â??-action and inversions versus noninversions""; ""5. Real reflection groups""; ""6. The case where is a single -orbit""; ""7. A reduction to isotypic components"" 
505 8 |a ""8. Perron-Frobenius and primitivity""""Chapter III. The case where \OOO contains only hyperplanes""; ""1. Review of twisted Gelfand pairs""; ""2. A new twisted Gelfand pair""; ""3. Two proofs of Theorem\nonbreakingspace I.4.1""; ""4. The eigenvalues and eigenspace representations""; ""5. Relation to linear ordering polytopes""; ""Chapter IV. Equivariant theory of \BHR random walks""; ""1. The face semigroup""; ""2. The case relevant for _{ }""; ""3. Some non-equivariant theory""; ""4. Equivariant structure of eigenspaces""; ""5. (Ã?â??â??)-equivariant eigenvalue filtration"" 
505 8 |a ""6. Consequences for the kernels""""7. Reformulation of _{ _{ }}""; ""Chapter V. The family _{(2^{ },1^{ -2 })}""; ""1. A Gelfand model for _{ }""; ""2. Proof of Theorem\nonbreakingspace I.4.3""; ""Chapter VI. The original family _{(,1^{ -- })}""; ""1. Proof of Theorem\nonbreakingspace I.1.1""; ""2. The kernel filtration and block-diagonalization""; ""3. The (unsigned) maps on injective words""; ""4. The complex of injective words""; ""5. Pieri formulae for _{ } and _{ }Ã?â??â??""; ""6. Some derangement numerology"" 
505 8 |a ""7. (_{ }Ã?â??â??)-structure of the first kernel""""8. (_{ }Ã?â??â??)-structure of the kernel filtration""; ""9. Desarrangements and the random-to-top eigenvalue of a tableaux""; ""10. Shaving tableaux""; ""11. Fixing a small value of and letting grow.""; ""12. The representation ^{( -1,1)}""; ""Chapter VII. Acknowledgements""; ""Appendix A. \symm_{ }-module decomposition of _{(,1^{ -- })}""; ""Bibliography""; ""\nomname""; ""Index"" 
650 0 |a Combinatorial group theory. 
650 0 |a Markov processes. 
650 0 |a Finite groups. 
650 7 |a Combinatorial group theory  |2 fast 
650 7 |a Finite groups  |2 fast 
650 7 |a Markov processes  |2 fast 
700 1 |a Saliola, Franco. 
700 1 |a Welker, Volkmar. 
758 |i has work:  |a Spectra of symmetrized shuffling operators (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGWPYXVJ838k7fv8yYkJQm  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Reiner, Victor.  |t Spectra of Symmetrized Shuffling Operators.  |d Providence : American Mathematical Society, ©1900  |z 9780821890950 
830 0 |a Memoirs of the American Mathematical Society. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114185  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD