Orthogonality of Jack polynomials in superspace

dc.creatorDesrosiers, P.
dc.creatorLapointe, L.
dc.creatorMathieu, P.
dc.date2008-04-09T22:05:38Z
dc.date2008-04-09T22:05:38Z
dc.date2007
dc.date.accessioned2017-03-07T14:47:00Z
dc.date.available2017-03-07T14:47:00Z
dc.identifierAdvances in mathematics 212 (1):361 - 388
dc.identifier0001-8708
dc.identifierhttp://dspace.utalca.cl/handle/1950/4802
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/372686
dc.descriptionLuc Lapointe. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.
dc.descriptionJack polynomials in superspace, orthogonal with respect to a “combinatorial” scalar product, are constructed. They are shown to coincide with the Jack polynomials in superspace, orthogonal with respect to an “analytical” scalar product, introduced in [P. Desrosiers, L. Lapointe, P. Mathieu, Jack polynomials in superspace, Comm. Math. Phys. 242 (2003) 331–360] as eigenfunctions of a supersymmetric quantum mechanical many-body problem. The results of this article rely on generalizing (to include an extra parameter) the theory of classical symmetric functions in superspace developed recently in [P. Desrosiers, L. Lapointe, P. Mathieu, Classical symmetric functions in superspace
dc.format2945 bytes
dc.formattext/html
dc.languageen
dc.publisherElsevier Inc.
dc.subjectSymmetric functions; Superspace; Jack polynomials
dc.titleOrthogonality of Jack polynomials in superspace
dc.typeArtículos de revistas


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