Orthogonality of Jack polynomials in superspace
Desrosiers, Patrick ; Lapointe, Luc ; Mathieu, Pierre
arXiv, 0509039 / Harvested from arXiv
Text on arXiv
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 hep-th/0209074 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 math.CO/0509408
Publié le : 2005-09-18
Classification:  Mathematical Physics,  Mathematics - Combinatorics 
@article{0509039,
     author = {Desrosiers, Patrick and Lapointe, Luc and Mathieu, Pierre},
     title = {Orthogonality of Jack polynomials in superspace},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509039}
}

Desrosiers, Patrick; Lapointe, Luc; Mathieu, Pierre. Orthogonality of Jack polynomials in superspace. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509039/