Artículos de revistas
Orthogonality of Jack polynomials in superspace
Registro en:
Advances in mathematics 212 (1):361 - 388
0001-8708
Autor
Desrosiers, P.
Lapointe, L.
Mathieu, P.
Institución
Resumen
Luc Lapointe. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile. 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