FINITE-DIMENSIONAL SPECIAL ODD HAMILTONIAN SUPERALGEBRAS IN PRIME CHARACTERISTIC

DOI10.1142/S021919970900351XzbMath1241.17021MaRDI QIDQ3398308

Yinghua He, Wende Liu

Publication date: 28 September 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

modular Lie superalgebrasspecial odd Hamiltonian superalgebrasLie superalgebras of Cartan type

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (12)

Restricted Kac modules for special contact Lie superalgebras of odd type ⋮ Restricted Kac modules of special Hamiltonian Lie superalgebras of odd type ⋮ Maximal subalgebras for modular graded Lie superalgebras of odd Cartan type ⋮ Special odd Lie superalgebras in prime characteristic ⋮ Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras ⋮ Finite-dimensional special contact superalgebras of odd type over a field of prime characteristic ⋮ Automorphism groups of finite-dimensional special odd Hamiltonian superalgebras in prime characteristic ⋮ Superderivations for modular graded Lie superalgebras of Cartan-type ⋮ On restricted representations of restricted contact Lie superalgebras of odd type ⋮ Generators of Simple Modular Lie Superalgebras ⋮ Character formulas for simple modules of Hamiltonian Lie superalgebras of odd type ⋮ Superderivation algebras of modular Lie superalgebras of \(\mathcal{O}\)-type

Cites Work

• 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
• Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
• The derivation algebra of the Cartan-type Lie superalgebra \(HO\).
• New simple Lie superalgebras in characteristic 3
• Derivation Algebra Der(H) and Central Extensions of Lie Superalgebras
• FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA
• The Cartan-Type Modular Lie SuperalgebraKO
• The Outer Derivation Algebras of Finite-Dimensional Cartan-Type Modular Lie Superalgebras
• Lie superalgebras

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