Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers

DOI10.1081/AGB-120018988zbMath1022.17005OpenAlexW1992979805MaRDI QIDQ4807573

Dongho Moon

Publication date: 19 May 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120018988

zbMATH Keywords

Lie superalgebratensor product representations

Mathematics Subject Classification ID

Related Items (17)

The centralizer algebras of lie color algebras ⋮ Tensor ideals, Deligne categories and invariant theory ⋮ Duflo-Serganova functor and superdimension formula for the periplectic Lie superalgebra ⋮ The periplectic Brauer algebra. II: Decomposition multiplicities ⋮ Highest weight modules over the quantum periplectic superalgebra of type \(P\) ⋮ Parabolic category for periplectic Lie superalgebras ⋮ The first fundamental theorem of invariant theory for the orthosymplectic super group ⋮ Affine periplectic Brauer algebras ⋮ Denominator identities for the periplectic Lie superalgebra ⋮ On polynomial representations of strange Lie superalgebras \(P(n)\) ⋮ The periplectic Brauer algebra. III: The Deligne category ⋮ Quantized enveloping superalgebra of type \(P\) ⋮ The affine VW supercategory ⋮ Deligne categories and the periplectic Lie superalgebra ⋮ The blocks of the periplectic Brauer algebra in positive characteristic ⋮ Kac–Wakimoto conjecture for the periplectic Lie superalgebra ⋮ The representation theory of Brauer categories. I: triangular categories

Cites Work

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• Tensor product representations for orthosymplectic Lie superalgebras
• Tensor product representations of general linear groups and their connections with Brauer algebras
• A Schur double centralizer theorem for cotriangular Hopf algebras and generalized Lie algebras
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• On algebras which are connected with the semisimple continuous groups
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• The centralizer algebras of lie color algebras
• GENERIC IRREDUCIBLE REPRESENTATIONS OF FINITE-DIMENSIONAL LIE SUPERALGEBRAS
• Lie superalgebras

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