The Derivation Algebra and Automorphism Group of the Twisted Heisenberg–Virasoro Algebra

DOI10.1080/00927870600651257zbMath1100.17006OpenAlexW2112142811MaRDI QIDQ5489296

Ran Shen, Cuipo (Cuibo) Jiang

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600651257

zbMATH Keywords

automorphismderivationHeisenberg-Virasoro algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (32)

Structures of a class of deformative super W-algebras ⋮ Tensor product modules over the twisted Heisenberg–Virasoro algebra ⋮ Super-biderivations on the super Heisenberg-Virasoro algebra ⋮ HARISH-CHANDRA MODULES OVER THE ℚ HEISENBERG–VIRASORO ALGEBRA ⋮ Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra ⋮ Structure of the planar Galilean conformal algebra ⋮ Structures of generalized loop planar Galilean conformal algebras ⋮ Dual Lie Bialgebra Structures of Twisted Schrödinger-Virasoro Type ⋮ Biderivations of the twisted Heisenberg–Virasoro algebra and their applications ⋮ Low-dimensional cohomology of \(q\)-deformed Heisenberg-Virasoro algebra of Hom-type ⋮ Derivations and Automorphism Group of Original Deformative Schrödinger-Virasoro Algebra ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ Verma Modules Over the Generalized Heisenberg–Virasoro Algebra ⋮ Verma modules for rank two Heisenberg-Virasoro algebra ⋮ The derivation algebra and automorphism group of the n -th Schrödinger algebra ⋮ Deformations on the twisted Heisenberg-Virasoro algebra ⋮ Unnamed Item ⋮ Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Verma modules over deformed generalized Heisenberg-Virasoro algebras ⋮ Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra ⋮ Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras ⋮ Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b) ⋮ Structure of the Extended Schrödinger–Virasoro Lie Algebra $\widetilde{\mathfrak{sv}}$ ⋮ Automorphisms, derivations, and central extensions of Lie algebras arising from quantum tori ⋮ Two classes of non-weight modules over the twisted Heisenberg-Virasoro algebra ⋮ Tensor product weight modules of Schrödinger-Virasoro algebras ⋮ Derivation algebra and automorphism group of generalized Ramond \(N = 2\) superconformal algebra ⋮ Whittaker modules for the twisted Heisenberg–Virasoro algebra ⋮ Central Extensions and Derivations of Generalized Schrödinger-Virasoro Algebras ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras

Cites Work

• Moduli spaces of curves and representation theory
• Derivations and central extensions of finitely generated graded Lie algebras
• The derivation algebra of the associative algebra C_q[X,Y,X^-1,Y^-1*]
• Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero

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