Derivations, isomorphisms, and second cohomology of generalized Witt algebras

DOI10.1090/S0002-9947-98-01786-3zbMath0952.17015OpenAlexW1511326293MaRDI QIDQ4382941

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-01786-3

zbMATH Keywords

automorphism group derivations simple Lie algebras 2-cocycles

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Related Items (55)

Structures of a class of deformative super W-algebras ⋮ Derivations and invariant forms of Jordan and alternative tori ⋮ Weight modules over exp-polynomial Lie algebras ⋮ Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case ⋮ Derivations and Automorphism Group of Completed Witt Lie Algebra ⋮ Classification of irreducible weight modules over higher rank Virasoro algebras ⋮ Generalized Cartan type \(S\) Lie algebras in characteristic zero ⋮ Structures of generalized loop planar Galilean conformal algebras ⋮ Lie bialgebras of generalized Witt type ⋮ Generalized Cartan type \(W\) Lie algebras in characteristic zero ⋮ Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\) ⋮ Derivations and Automorphism Group of Original Deformative Schrödinger-Virasoro Algebra ⋮ Shen-Larsson's modules for simple generalized Witt algebras ⋮ The groups of automorphisms of the Witt W n and Virasoro Lie algebras ⋮ Transposed Poisson structures on generalized Witt algebras and Block Lie algebras ⋮ Derivations, extensions, and rigidity of subalgebras of the Witt algebra ⋮ Transposed Poisson structures on Witt type algebras ⋮ Second cohomology group of extended \(W\)-algebras ⋮ Multiplicity-one representations of divergence-free Lie algebras ⋮ Structures of the twisted N = 1 Schrödinger–Neveu–Schwarz algebra ⋮ On a family of non-weight modules over Witt-type Lie algebras and superalgebras ⋮ Hamiltonian type Lie bialgebras ⋮ Automorphisms and derivations of the insertion-elimination algebra and related graded Lie algebras ⋮ Structures of Generalized Loop Virasoro Algebras ⋮ Unnamed Item ⋮ Twists and quantizations of Cartan type \(S\) Lie algebras ⋮ Representations for the Nongraded Virasoro-Like Algebra ⋮ Derivations of Orthosymplectic Lie Superalgebras ⋮ Simple algebras of Weyl type, II ⋮ Post-Lie algebra structures on the Witt algebra ⋮ Lie Bialgebras of Generalized WITT Type, II ⋮ Isomorphism classes and automorphism groups of algebras of Weyl type ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Some representations of nongraded Lie algebras of generalized Witt type ⋮ Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras ⋮ Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras ⋮ Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b) ⋮ Automorphisms, derivations, and central extensions of Lie algebras arising from quantum tori ⋮ WEYL TYPE ALGEBRAS FROM QUANTUM TORI ⋮ 2-Local derivations on Witt algebras ⋮ Deformed higher rank Heisenberg-Virasoro algebras ⋮ Generalized Heisenberg-Virasoro algebras ⋮ Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block ⋮ Second cohomology of generalized Cartan type \(S\) Lie algebras in characteristic zero ⋮ Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series ⋮ Central Extensions and Derivations of Generalized Schrödinger-Virasoro Algebras ⋮ 2-Local derivations on generalized Witt algebras ⋮ Derivation-simple algebras and the structures of Lie algebras of Witt type ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules ⋮ Structures of generalized loop super-Virasoro algebras ⋮ Verma modules over generalized Virasoro algebras Vir[\(G\)] ⋮ Automorphisms and Verma Modules for Generalized 2-dim Affine-Virasoro Algebra ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras ⋮ SECOND COHOMOLOGY GROUP OF GENERALIZED WITT TYPE LIE ALGEBRAS AND CERTAIN REPRESENTATIONS ⋮ Simple algebras of Weyl type

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