Some simple modules for the restricted Cartan-type Lie algebras

DOI10.1016/S0022-4049(01)00172-4zbMath1007.17014WikidataQ115340155 ScholiaQ115340155MaRDI QIDQ1612163

Chaowen Zhang, Randall R. Holmes

Publication date: 22 August 2002

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

Mathematics Subject Classification ID

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

Related Items (9)

IRREDUCIBLE REPRESENTATIONS OF THE HAMILTONIAN ALGEBRAH(2r;n) ⋮ Representations of the restricted Lie algebras of Cartan type ⋮ Simple modules for the restricted Cartan type Lie algebras ⋮ Cartan matrices for restricted Lie algebras ⋮ Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\) ⋮ Support varieties of semisimple-character representations for Cartan type Lie algebras ⋮ On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\) ⋮ Local properties of Jacobson-Witt algebras ⋮ Restricted Cartan type Lie algebras and the coadjoint representation

Cites Work

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• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
• Classification of restricted simple Lie algebras
• Brauer-type reciprocity for a class of graded associative algebras
• Representations of the Witt algebra
• Dimensions of the simple restricted modules for the restricted contact Lie algebra
• Cartan invariants for the restricted toral rank two contact Lie algebra
• Simple restricted modules for the restricted Hamiltonian algebra
• Modular Representation Theory of Lie Algebras
• Projective modules over Lie algebras of Cartan type
• Simple Restricted Modules for the Restricted Contact Lie Algebras
• Automorphisms of graded lie algebras op cartan type
• Simple modules with character height at most one for the restricted Witt algebras

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