Orthogonality of Jack polynomials in superspace
Copyright policy )Orthogonality of Jack polynomials in superspace
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
22 pages, this supersedes the second part of math.CO/0412306; (v2) 24 pages, title and abstract slightly modified, minor changes, typos corrected
- University of Melbourne Australia
- Université Laval Canada
- University of Montreal Canada
- Department of Mathematics and Statistics University of Melbourne Australia
- UNIVERSITE DE MONTREAL Canada
Mathematics(all), Symmetric functions and generalizations, Supersymmetry and quantum mechanics, Superspace, FOS: Physical sciences, Mathematical Physics (math-ph), supersymmetric quantum mechanical many-body problem, Symmetric functions, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), FOS: Mathematics, Mathematics - Combinatorics, symmetric functions, Combinatorics (math.CO), Jack polynomials, Orthogonal polynomials (combinatorics), superspace, Mathematical Physics
Mathematics(all), Symmetric functions and generalizations, Supersymmetry and quantum mechanics, Superspace, FOS: Physical sciences, Mathematical Physics (math-ph), supersymmetric quantum mechanical many-body problem, Symmetric functions, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), FOS: Mathematics, Mathematics - Combinatorics, symmetric functions, Combinatorics (math.CO), Jack polynomials, Orthogonal polynomials (combinatorics), superspace, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).17 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!