Second Cohomology of the Modular Lie Superalgebra of Cartan Type K

DOI10.1142/S1005386709000303zbMath1190.17011OpenAlexW2132648221WikidataQ115245055 ScholiaQ115245055MaRDI QIDQ3633828

Yongzheng Zhang, Wenjuan Xie

Publication date: 23 June 2009

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386709000303

zbMATH Keywords

central extensionsuperderivationfirst coadjoint cohomology spacemodular contact Lie superalgebrasecond cohomology space with trivial coefficientsskew superderivation

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items (3)

Unnamed Item ⋮ Derivations of finite-dimensional modular Lie superalgebras \(\overline{K}(n, m)\) ⋮ Special odd Lie superalgebras in prime characteristic

Cites Work

• Cohomology groups of reduced enveloping algebras
• Central extensions and \(H^ 1(L, L^*)\) of the graded Lie algebras of Cartan type
• Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
• The derivation algebra of the Cartan-type Lie superalgebra \(HO\).
• Dual Space Derivations and H²(L, F) of Modular Lie Algebras
• FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA
• The Cartan-Type Modular Lie SuperalgebraKO
• DERIVATIONS OF THE EVEN PARTS FOR MODULAR LIE SUPERALGEBRAS OF CARTAN TYPE W AND S

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