The first cohomology of \(\mathfrak{sl}(2, 1)\) with coefficients in \(\chi\)-reduced Kac modules and simple modules

DOI10.1016/j.jpaa.2020.106403zbMath1472.17066OpenAlexW3018861787MaRDI QIDQ2184786

Wende Liu, Shujuan Wang

Publication date: 29 May 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2020.106403

zbMATH Keywords

cohomology\(\chi\)-reduced Kac modules\(\mathfrak{sl}(2, 1)\)simple \(\chi\)-modules

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Cites Work

• Borel-Weil-Bott theory for classical Lie superalgebras
• On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\)
• Low-dimensional cohomology of Lie superalgebra \(A(1,0)\) with coefficients in Witt or special superalgebras
• Superderivations for modular graded Lie superalgebras of Cartan-type
• Low-dimensional cohomology of Lie superalgebra \(\mathfrak{sl}_m|_n\) with coefficients in Witt or special superalgebras
• Dual Space Derivations and H²(L, F) of Modular Lie Algebras
• Characters of typical representations of classical lie superalgebras
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Lie Superalgebra Structures in H? (g;g)
• Representations of Lie superalgebras in prime characteristic I
• Lie superalgebras
• Unnamed Item

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