On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\)

DOI10.1016/j.jpaa.2008.09.005zbMath1230.17013OpenAlexW2027893196WikidataQ115345593 ScholiaQ115345593MaRDI QIDQ1004479

Chaowen Zhang

Publication date: 10 March 2009

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.2008.09.005

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Modular Lie (super)algebras (17B50)

Related Items (13)

Generalized restricted representations of the Zassenhaus superalgebras ⋮ Irreducible representations of the classical Lie superalgebra of type \(A(0,n)\) in prime characteristic ⋮ The first cohomology of \(\mathfrak{sl}(2, 1)\) with coefficients in \(\chi\)-reduced Kac modules and simple modules ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\) ⋮ Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type ⋮ On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\) ⋮ Representations of the restricted Lie color algebras ⋮ Restricted representations of Lie superalgebras of Hamiltonian type ⋮ Jantzen filtration and strong linkage principle for modular Lie superalgebras ⋮ Cartan invariants for Witt Lie superalgebras with \(p\)-characters of height at most one ⋮ On representations of restricted Lie superalgebras ⋮ Superderivation algebras of modular Lie superalgebras of \(\mathcal{O}\)-type

Cites Work

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• Identities in the enveloping algebras for modular Lie superalgebras
• The theory of Lie superalgebras. An introduction
• Classification of infinite-dimensional simple linearly compact Lie superalgebras
• Some simple modules for the restricted Cartan-type Lie algebras
• Modular Representation Theory of Lie Algebras
• ON REPRESENTATIONS OF CLASSICAL SEMISIMPLE LIE ALGEBRAS OF CHARACTERISTICp
• Lie superalgebras
• Simple Lie algebras over fields of positive characteristic. I: Structure theory
• Simple modules with character height at most one for the restricted Witt algebras

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