Cohomologie des modules de dimension finie sur la super algèbre de Lie \(\mathfrak{osp}(3,2)\) (Cohomology of finite dimensional modules on the Lie superalgebra \(\mathfrak{osp}(3,2)\))

DOI10.1016/S0021-8693(02)00573-2zbMath1026.17025OpenAlexW2073542026WikidataQ115340518 ScholiaQ115340518MaRDI QIDQ1867325

Caroline Gruson

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00573-2

zbMATH Keywords

finite dimensional modulescohomology of osp(3,2)Lie superalgebra osp(3,2)projective cover of atypical module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Related Items (5)

The representation theory of the exceptional Lie superalgebras \(F(4)\) and \(G(3)\) ⋮ The Duflo-Serganova functor, vingt ans après ⋮ Irreducible modules for equivariant map superalgebras and their extensions ⋮ Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\) ⋮ Cohomology of Lie superalgebras 𝔰𝔩_m|nand 𝔬𝔰𝔭_2|2n

Cites Work

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• Algebra VIII: Representations of finite-dimensional algebras. Transl. from the Russian
• Indecomposable representations of special linear Lie superalgebras
• On the Plücker relations in the case of a basic classical complex Lie superalgebra
• Finitude de l'homologie de certains modules de dimension finie sur une super algèbre de Lie. (Finiteness of the homology of some finite dimensional vector spaces on a Lie superalgebra.)
• Homology and cohomology of Lie superalgebra \({\mathfrak sl}(2,1)\) with coefficients in the spaces of finite-dimensional irreducible representations
• Représentations indécomposables des superalgèbres de Lie spéciales linéaires

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