Algebraic aspects of increasing subsequences

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dc.creatorBaik, Jinho
dc.creatorRains, Eric M.
dc.date1999-05-13
dc.date2000-09-26
dc.date.accessioned2026-07-07T05:29:04Z
dc.date.available2026-07-07T05:29:04Z
dc.descriptionWe present a number of results relating partial Cauchy-Littlewood sums, integrals over the compact classical groups, and increasing subsequences of permutations. These include: integral formulae for the distribution of the longest increasing subsequence of a random involution with constrained number of fixed points; new formulae for partial Cauchy-Littlewood sums, as well as new proofs of old formulae; relations of these expressions to orthogonal polynomials on the unit circle; and explicit bases for invariant spaces of the classical groups, together with appropriate generalizations of the straightening algorithm.
dc.descriptionLaTeX+amsmath+eepic; 52 pages. Expanded introduction, new references, other minor changes
dc.identifierhttps://arxiv.org/abs/math/9905083
dc.identifierhttp://arxiv.org/abs/math/9905083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78499
dc.subjectCombinatorics
dc.subjectProbability
dc.subjectRepresentation Theory
dc.titleAlgebraic aspects of increasing subsequences
dc.typetext

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