DERIVATIONS OF THE EVEN PARTS FOR MODULAR LIE SUPERALGEBRAS OF CARTAN TYPE W AND S

DOI10.1142/S0218196707003883zbMath1163.17019arXivmath/0507512OpenAlexW2015746715WikidataQ115245917 ScholiaQ115245917MaRDI QIDQ5386968

Yongzheng Zhang, Wende Liu

Publication date: 14 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507512

zbMATH Keywords

torusderivation algebramodular Lie superalgebrasouter derivation algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Modular Lie (super)algebras (17B50)

Related Items (9)

Derivations for even part of finite-dimensional modular Lie superalgebra \(\tilde\Omega\) ⋮ Derivations of the even part of contact Lie superalgebra ⋮ Superderivations for modular graded Lie superalgebras of Cartan-type ⋮ Low-dimensional cohomology of Lie superalgebra \(\mathfrak{sl}_m|_n\) with coefficients in Witt or special superalgebras ⋮ Second Cohomology of the Modular Lie Superalgebra of Cartan Type K ⋮ Automorphisms and p-Characters of Restricted Lie Superalgebras of Cartan Type ⋮ Derivations of the even part of the odd Hamiltonian superalgebra in modular case ⋮ Restricted Envelopes of Lie Superalgebras ⋮ Derivations of the even part of finite-dimensional simple modular Lie superalgebra \(\mathcal M\)

Cites Work

• The simple Lie \(p\)-algebras of rank two
• 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 \(HO\).
• Note on Frobenius extensions and restricted Lie superalgebras
• Derivation Algebra Der(H) and Central Extensions of Lie Superalgebras
• The Outer Derivation Algebras of Finite-Dimensional Cartan-Type Modular Lie Superalgebras

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