FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA

DOI10.1081/AGB-120003981zbMath1021.17017OpenAlexW2018300087MaRDI QIDQ4552417

Yongzheng Zhang, Hong-Chen Fu

Publication date: 3 September 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120003981

zbMATH Keywords

invariant filtrationHamiltonian Lie superalgebra\(\mathbb Z\)-graded module

Mathematics Subject Classification ID

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

Related Items (27)

Infinite-Dimensional Modular Odd Hamiltonian Superalgebras ⋮ A Class of Finite-dimensional Lie Superalgebras of Hamiltonian Type ⋮ The finite-dimensional modular Lie superalgebra \(\Omega \) ⋮ Infinite-dimensional Modular Lie Superalgebras W and S of Cartan Type ⋮ The classification of modular Lie superalgebras of type \(\mathcal M\) ⋮ Some properties of the family Γ of modular Lie superalgebras ⋮ Finite-dimensional simple modular Lie superalgebra \(\mathcal{M}\) ⋮ On the modular Lie superalgebra \(\varOmega \) ⋮ Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras ⋮ Derivations for even part of finite-dimensional modular Lie superalgebra \(\tilde\Omega\) ⋮ Automorphism groups of modular graded Lie superalgebras of Cartan-type ⋮ The derivation algebra of the Cartan-type Lie superalgebra \(HO\). ⋮ Finite-dimensional odd Hamiltonian superalgebras over a field of prime characteristic ⋮ A class of generalized odd Hamiltonian Lie superalgebras ⋮ The general and special superalgebras of formal vectorfields ⋮ Infinite-dimensional Hamiltonian Lie superalgebras ⋮ The Frattini subalgebra of restricted Lie superalgebras ⋮ The Outer Derivation Algebras of Finite-Dimensional Cartan-Type Modular Lie Superalgebras ⋮ Second Cohomology of the Modular Lie Superalgebra of Cartan Type K ⋮ FINITE-DIMENSIONAL SPECIAL ODD HAMILTONIAN SUPERALGEBRAS IN PRIME CHARACTERISTIC ⋮ The natural filtration of finite dimensional modular Lie superalgebras of special type ⋮ Infinite-dimensional modular Lie superalgebra \(\Omega\) ⋮ Ad-Nilpotent Elements, Isomorphisms, and the Weisfeiler Filtration of Infinite-Dimensional Modular Odd Contact Superalgebras ⋮ Automorphism Groups of Restricted Cartan-Type Lie Superalgebras ⋮ Natural filtrations of infinite-dimensional modular contact superalgebras ⋮ Derivations of the even part of finite-dimensional simple modular Lie superalgebra \(\mathcal M\) ⋮ Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras

Cites Work

• Extension functors of modular Lie algebras
• A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
• The theory of Lie superalgebras. An introduction
• Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• The graded modules for the graded contact cartan algebras
• Irreducible constituents of graded modules for graded contact lie algebras of cartan type
• Lie superalgebras

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