| Description |
1 online resource |
| Series |
Memoirs of the American Mathematical Society ; v. 228 |
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Memoirs of the American Mathematical Society.
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| Contents |
""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"" |
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""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"" |
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""6. Consequences for the kernels""""7. Reformulation of _{ _{ }}""; ""Chapter V. The family _{(2̂{ },1̂{ -2 })}""; ""1. A Gelfand model for _{ }""; ""2. Proof of Theorem\nonbreakingspace I.4.3""; ""Chapter VI. The original family _{(,1̂{ -- })}""; ""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"" |
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""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 _{(,1̂{ -- })}""; ""Bibliography""; ""\nomname""; ""Index"" |
| Notes |
Title from content provider |
| Subject |
Combinatorial group theory.
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Markov processes.
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Finite groups.
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Combinatorial group theory
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Finite groups
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Markov processes
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| Form |
Electronic book
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| Author |
Saliola, Franco
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Welker, Volkmar
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| ISBN |
9781470414849 |
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1470414848 |
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