Classical symmetric functions in superspace

DOI10.1007/s10801-006-0020-9zbMath1115.05093arXivmath/0509408OpenAlexW3100074305MaRDI QIDQ2504998

Patrick Desrosiers, Pierre Mathieu, Luc Lapointe

Publication date: 28 September 2006

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509408

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (17)

The super-Virasoro singular vectors and Jack superpolynomials relationship revisited ⋮ Orthogonality of Jack polynomials in superspace ⋮ Macdonald polynomials in superspace: conjectural definition and positivity conjectures ⋮ Quasisymmetric harmonics of the exterior algebra ⋮ Vandermondes in superspace ⋮ Overpartitions and Bressoud's conjecture. II ⋮ N≥ 𝟐 symmetric superpolynomials ⋮ Pieri rules for the Jack polynomials in superspace and the 6-vertex model ⋮ Jack polynomials with prescribed symmetry and some of their clustering properties ⋮ Pieri rules for Schur functions in superspace ⋮ Hopf algebra structure of symmetric and quasisymmetric functions in superspace ⋮ Bernstein operators and super-Schur functions: combinatorial aspects ⋮ Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals ⋮ The norm and the evaluation of the Macdonald polynomials in superspace ⋮ Superconformal field theory and Jack superpolynomials ⋮ Jack Superpolynomials: Physical and Combinatorial Definitions ⋮ A combinatorial model for the decomposition of multivariate polynomial rings as \(S_n\)-modules

Cites Work

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• Partition bijections, a survey
• A characterization of supersymmetric polynomials
• A determinantal formula for supersymmetric Schur polynomials
• Generalized Hermite polynomials in superspace as eigenfunctions of the supersymmetric rational CMS model
• Jack polynomials in superspace
• Determinants of super-Schur functions, lattice paths, and dotted plane partitions
• Jack superpolynomials, superpartition ordering and determinantal formulas
• Diagram and superfield techniques in the classical superalgebras
• Characters of typical representations of classical lie superalgebras
• Overpartitions
• Explicit formulae for the generalized Hermite polynomials in superspace
• Hidden algebras of the (super) Calogero and Sutherland models
• Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials

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