Orthogonality of Jack polynomials in superspace
作者： Patrick Desrosiers , Luc Lapointe , Pierre Mathieu
DOI: 10.1016/J.AIM.2006.10.004
关键词:
摘要: Abstract Jack polynomials in superspace, orthogonal with respect to a “combinatorial” scalar product, are constructed. They shown coincide the an “analytical” introduced [P. Desrosiers, L. Lapointe, P. Mathieu, Comm. Math. Phys. 242 (2003) 331–360] as eigenfunctions of supersymmetric quantum mechanical many-body problem. The results this article rely on generalizing (to include extra parameter) theory classical symmetric functions superspace developed recently Classical J. Algebraic Combin. 24 (2006) 209–238].
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