On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\)

DOI10.1007/s00605-012-0414-9zbMath1327.17018OpenAlexW2008109441MaRDI QIDQ1950338

Yanyan Li

Publication date: 13 May 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0414-9

zbMATH Keywords

restricted Lie superalgebrarestricted representationatypical weightLie superalgebra of extended special typetypical weight

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (max. 100)

Generalized restricted representations of the Zassenhaus superalgebras ⋮ Restricted Kac modules for special contact Lie superalgebras of odd type ⋮ Restricted Kac modules of Hamiltonian Lie superalgebras of odd type ⋮ Restricted Kac modules of special Hamiltonian Lie superalgebras of odd type ⋮ Finite-dimensional special contact superalgebras of odd type over a field of prime characteristic ⋮ Automorphism groups of modular graded Lie superalgebras of Cartan-type ⋮ Unnamed Item ⋮ On irreducible representations of the Zassenhaus superalgebras with \(p\)-characters of height 0 ⋮ On representations of restricted Lie superalgebras ⋮ Character formulas for simple modules of Hamiltonian Lie superalgebras of odd type

Cites Work

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• Restricted representations of the Witt superalgebras
• On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\)
• Identities in the enveloping algebras for modular Lie superalgebras
• Character formulas for restricted simple modules of the special superalgebras
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF TYPESSANDH
• Representations of Lie superalgebras in prime characteristic I
• Lie superalgebras

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