Restricted representations of Lie superalgebras of Hamiltonian type

DOI10.1007/s10468-011-9322-2zbMath1319.17006OpenAlexW2063380211MaRDI QIDQ1956358

Bin Shu, Yu-Feng Yao

Publication date: 13 June 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-011-9322-2

zbMATH Keywords

restricted Lie superalgebrarestricted representationatypical weighttypical weightLie superalgebra of Hamiltonian type

Mathematics Subject Classification ID

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

Related Items (11)

Generalized restricted representations of the Zassenhaus superalgebras ⋮ Restricted Kac modules for special contact Lie superalgebras of odd type ⋮ Unnamed Item ⋮ 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 ⋮ On blocks in restricted representations of Lie superalgebras of Cartan type ⋮ On representations of restricted Lie superalgebras ⋮ Character formulas for simple modules of Hamiltonian Lie superalgebras of odd type ⋮ Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras

Cites Work

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• Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\)
• 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
• Note on Frobenius extensions and restricted Lie superalgebras
• Character formulas for restricted simple modules of the special superalgebras
• Representations of Lie superalgebras in prime characteristic I
• Lie superalgebras

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