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| Title: | Orthogonality of Jack polynomials in superspace |
| Authors: | Desrosiers, P.
Lapointe, L.
Mathieu, P. |
| Keywords: | Symmetric functions; Superspace; Jack polynomials |
| Issue Date: | 2007 |
| Publisher: | Elsevier Inc. |
| Citation: | Advances in mathematics 212 (1):361 - 388 |
| Abstract: | Jack 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 |
| Description: | Luc Lapointe. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. |
| URI: | http://dspace.utalca.cl/handle/1950/4802 |
| ISSN: | 0001-8708 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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