Pieri Formulae and Specialisation of Super Jacobi Polynomials

DOI10.18500/1816-9791-2019-19-4-377-388zbMath1472.17037OpenAlexW2994899618MaRDI QIDQ5218293

Egor Dmitrievich Zharinov, Alexander Sergeev

Publication date: 2 March 2020

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu815

zbMATH Keywords

Lie superalgebraPieri formulassuper Jacobi polynomialsEuler supercharacters

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (1)

Supergroup \(OSP(2,2n)\) and super Jacobi polynomials

Cites Work

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• Euler characters and super Jacobi polynomials
• \(BC_\infty \) Calogero-Moser operator and super Jacobi polynomials
• Characters of irreducible representations of simple Lie superalgebras
• Macdonald polynomials and algebraic integrability
• Lie superalgebras and Calogero-Moser-Sutherland systems
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Generalized Weyl modules, alcove paths and Macdonald polynomials
• Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras

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