Lie Elements and Knuth Relations

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dc.creatorSchocker, Manfred
dc.date2002-09-24
dc.date.accessioned2026-07-07T04:51:12Z
dc.date.available2026-07-07T04:51:12Z
dc.descriptionA coplactic class in the symmetric group S_n consists of all permutations in S_n with a given Schensted Q-symbol, and may be described in terms of local relations introduced by Knuth. Any Lie element in the group algebra of S_n which is constant on coplactic classes is already constant on descent classes. As a consequence, the intersection of the Lie convolution algebra introduced by Patras and Reutenauer and the coplactic algebra introduced by Poirier and Reutenauer is the Solomon descent algebra.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0209327
dc.identifierhttp://arxiv.org/abs/math/0209327
dc.identifierCanadian J. Math. 56 (2004), No. 4, 871-882
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65062
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subject17B01; 05E10; 20C30; 16W30
dc.titleLie Elements and Knuth Relations
dc.typetext

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