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dc.date.accessioned | 2019-01-22T20:41:04Z | |
dc.date.available | 2019-01-22T20:41:04Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 1063-7796 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/148278 | |
dc.description.abstract | © 2018, Pleiades Publishing, Ltd. Abstract: Analogues of 1-shuffle elements for complex reflection groups of type G(m,1,n) are introduced. A geometric interpretation for G(m,1,n) in terms of rotational permutations of polygonal cards is given. We compute the eigenvalues, and their multiplicities, of the 1-shuffle element in the algebra of the group G(m,1,n). Considering shuffling as a random walk on the group G(m,1,n), we estimate the rate of convergence to randomness of the corresponding Markov chain. We report on the spectrum of the 1-shuffle analogue in the cyclotomic Hecke algebra H(m,1,n) for m = 2 and small n. | |
dc.relation.ispartofseries | Physics of Particles and Nuclei | |
dc.title | Cyclotomic Shuffles | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 5 | |
dc.relation.ispartofseries-volume | 49 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 867 | |
dc.source.id | SCOPUS10637796-2018-49-5-SID85054740491 |