Noncommutative Analogs of Monomial Symmetric Functions, Cauchy Identity, and Hall Scalar Product

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dc.creatorTevlin, Lenny
dc.date2007-12-13
dc.date.accessioned2026-07-07T08:49:04Z
dc.date.available2026-07-07T08:49:04Z
dc.descriptionThis paper introduces noncommutative analogs of monomial symmetric functions and fundamental noncommutative symmetric functions. The expansion of ribbon Schur functions in both of these basis is nonnegative. With these functions at hand, one can derive a noncommutative Cauchy identity as well as study a noncommutative scalar product implied by Cauchy identity. This scalar product seems be the noncommutative analog of Hall scalar product in the commutative theory.
dc.descriptionBased on the author's talk at FPSAC '07, Tianjin, China
dc.identifierhttps://arxiv.org/abs/0712.2201
dc.identifierhttp://arxiv.org/abs/0712.2201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144166
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.subject05E05, 05A19
dc.titleNoncommutative Analogs of Monomial Symmetric Functions, Cauchy Identity, and Hall Scalar Product
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