Rational solutions to the Pfaff lattice and Jack polynomials

Simple item page
dc.creatorAdler, Mark
dc.creatorKuznetsov, Vadim B.
dc.creatorvan Moerbeke, Pierre
dc.date2002-02-18
dc.date.accessioned2026-07-07T05:33:55Z
dc.date.available2026-07-07T05:33:55Z
dc.descriptionThe finite Pfaff lattice is given by commuting Lax pairs involving a finite matrix L (zero above the first subdiagonal) and a projection onto Sp(N). The lattice admits solutions such that the entries of the matrix L are rational in the time parameters t_1,t_2,..., after conjugation by a diagonal matrix. The sequence of polynomial tau-functions, solving the problem, belongs to an intriguing chain of subspaces of Schur polynomials, associated to Young diagrams, dual with respect to a finite chain of rectangles. Also, this sequence of tau-functions is given inductively by the action of a fixed vertex operator. As examples, one such sequence is given by Jack polynomials for rectangular Young diagrams, while another chain starts with any two-column Jack polynomial.
dc.description57 pages
dc.identifierhttps://arxiv.org/abs/nlin/0202037
dc.identifierhttp://arxiv.org/abs/nlin/0202037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80171
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.titleRational solutions to the Pfaff lattice and Jack polynomials
dc.typetext

Files

Collections

arXiv