The Cartan-Type Modular Lie SuperalgebraKO

DOI10.1080/00927870500346065zbMath1158.17307OpenAlexW2162792803MaRDI QIDQ5201392

Jiayuan Fu, Qingcheng Zhang, Cuipo (Cuibo) Jiang

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500346065

zbMATH Keywords

Lie superalgebraderivation algebragraded algebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

Related Items (21)

A Class of Finite-dimensional Lie Superalgebras of Hamiltonian Type ⋮ A Note on the Cartan Type Lie Superalgebra $\widetilde{S}(n)$ over a Field of Positive Characteristic ⋮ Restricted Kac modules for special contact Lie superalgebras of odd type ⋮ Unnamed Item ⋮ Maximal subalgebras for modular graded Lie superalgebras of odd Cartan type ⋮ Derivations of finite-dimensional modular Lie superalgebras \(\overline{K}(n, m)\) ⋮ Special odd Lie superalgebras in prime characteristic ⋮ 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 ⋮ The Finite-dimensional Modular Lie Superalgebra Γ ⋮ A class of generalized odd Hamiltonian Lie superalgebras ⋮ Superderivations for modular graded Lie superalgebras of Cartan-type ⋮ Infinite-dimensional modular special odd contact superalgebras ⋮ Infinite-dimensional Hamiltonian Lie superalgebras ⋮ Generators of Simple Modular Lie Superalgebras ⋮ Constructions and properties for a finite-dimensional modular Lie superalgebra \(K(n, m)\) ⋮ Second Cohomology of the Modular Lie Superalgebra of Cartan Type K ⋮ FINITE-DIMENSIONAL SPECIAL ODD HAMILTONIAN SUPERALGEBRAS IN PRIME CHARACTERISTIC ⋮ THE GENERALIZED WITT MODULAR LIE SUPERALGEBRA OF CARTAN TYPE ⋮ Ad-Nilpotent Elements, Isomorphisms, and the Weisfeiler Filtration of Infinite-Dimensional Modular Odd Contact Superalgebras ⋮ Superderivation algebras of modular Lie superalgebras of \(\mathcal{O}\)-type

Cites Work

• Unnamed Item
• 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 \(HO\).
• Characters of typical representations of classical lie superalgebras
• Introduction to Lie Algebras and Representation Theory
• Lie superalgebras

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