Pieri Formulae and Specialisation of Super Jacobi Polynomials
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Publication:5218293
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
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
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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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