Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\)

DOI10.1007/s10468-009-9198-6zbMath1281.17020arXiv0905.1400OpenAlexW2594520622MaRDI QIDQ409242

Bin Shu, Chaowen Zhang

Publication date: 12 April 2012

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

Full work available at URL: https://arxiv.org/abs/0905.1400

Mathematics Subject Classification ID

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

Related Items (17)

Generalized restricted representations of the Zassenhaus superalgebras ⋮ Restricted Kac modules for special contact Lie superalgebras of odd type ⋮ Irreducible representations of the classical Lie superalgebra of type \(A(0,n)\) in prime characteristic ⋮ Unnamed Item ⋮ Restricted Kac modules of Hamiltonian Lie superalgebras of odd type ⋮ Representations of the Witt superalgebra \(W(2)\) ⋮ Restricted Kac modules of special Hamiltonian Lie superalgebras of odd type ⋮ Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type ⋮ On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\) ⋮ Restricted representations of Lie superalgebras of Hamiltonian 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 irreducible representations of the Zassenhaus superalgebras with \(p\)-characters of height 0 ⋮ Restricted representations of the Witt superalgebras ⋮ Character formulas for a class of simple restricted modules over the simple Lie superalgebras of Witt type ⋮ On representations of restricted Lie superalgebras ⋮ Character formulas for simple modules of Hamiltonian Lie superalgebras of odd type

Cites Work

• Unnamed Item
• Unnamed Item
• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
• On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\)
• Identities in the enveloping algebras for modular Lie superalgebras
• Principal indecomposable representations for restricted Lie algebras of Cartan type
• Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen
• The theory of Lie superalgebras. An introduction
• Simple restricted modules for the restricted Hamiltonian algebra
• Some simple modules for the restricted Cartan-type Lie algebras
• Representations of the restricted Lie algebras of Cartan type
• Infinite-Dimensional Modular Odd Hamiltonian Superalgebras
• Cohomology and Support Varieties for Lie Superalgebras of Type W(n)
• 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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