02431nam 2200589 450 991079603150332120180731045219.01-4704-1484-8(CKB)3780000000000306(EBL)3114185(SSID)ssj0001352196(PQKBManifestationID)11797993(PQKBTitleCode)TC0001352196(PQKBWorkID)11311234(PQKB)11667497(MiAaPQ)EBC3114185(RPAM)17922615(PPN)195408578(EXLCZ)99378000000000030620150417h20132013 uy 0engur|n|---|||||txtccrSpectra of symmetrized shuffling operators /Victor Reiner, Franco Saliola, Volkmar WelkerProvidence, Rhode Island :American Mathematical Society,2013.©20131 online resource (121 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 228, Number 1072"Volume 228, Number 1072 (fourth of 5 numbers)."0-8218-9095-6 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 228, Number 1072.Combinatorial group theoryMarkov processesFinite groupsCombinatorial group theory.Markov processes.Finite groups.519.2/33Reiner Victor1965-1486204Saliola Franco1977-Welker VolkmarMiAaPQMiAaPQMiAaPQBOOK9910796031503321Spectra of symmetrized shuffling operators3757635UNINA