1.

Record Nr.

UNINA9910827606803321

Autore

Reiner Victor <1965->

Titolo

Spectra of symmetrized shuffling operators / / Victor Reiner, Franco Saliola, Volkmar Welker

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2013

©2013

ISBN

1-4704-1484-8

Descrizione fisica

1 online resource (121 p.)

Collana

Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 228, Number 1072

Disciplina

519.2/33

Soggetti

Combinatorial group theory

Markov processes

Finite groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 228, Number 1072 (fourth of 5 numbers)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""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""