Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras

DOI10.1016/j.jalgebra.2009.05.005zbMath1228.17023arXiv0804.1610OpenAlexW2055975101MaRDI QIDQ731925

Shaobin Tan, Xiu Fu Zhang

Publication date: 9 October 2009

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

Full work available at URL: https://arxiv.org/abs/0804.1610

zbMATH Keywords

automorphism groupVerma modulegeneralized Schrödinger-Virasoro algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68)

Related Items (20)

θ-Unitary representations for theW-algebraW(2,2) ⋮ Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras ⋮ A family of new simple modules over the Schrödinger-Virasoro algebra ⋮ Quantization of Schrödinger-Virasoro Lie algebra ⋮ The structures for the loop-Witt algebra ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ Schrödinger-Virasoro type Lie bialgebra: a twisted case ⋮ UNITARY REPRESENTATIONS FOR THE SCHRÖDINGER–VIRASORO LIE ALGEBRA ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra ⋮ Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra ⋮ Lie bialgebra structures on generalized loop Schrödinger-Virasoro algebras ⋮ Tensor product weight modules of Schrödinger-Virasoro algebras ⋮ Deformed higher rank Heisenberg-Virasoro algebras ⋮ Biderivations and commutative post-Lie algebra structure on Schrödinger-Virasoro Lie algebras ⋮ Non-weight modules over the mirror Heisenberg-Virasoro algebra ⋮ Whittaker modules for the Schrödinger–Witt algebra ⋮ Central Extensions and Derivations of Generalized Schrödinger-Virasoro Algebras ⋮ Automorphisms and Verma Modules for Generalized 2-dim Affine-Virasoro Algebra ⋮ Derivations and Automorphisms of Twisted Deformative Schrödinger–Virasoro Lie Algebras

Cites Work

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• The higher rank Virasoro algebras
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Quasifinite modules of a Lie algebra related to Block type
• Generalizations of Witt algebras over a field of characteristic zero
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Verma modules over generalized Virasoro algebras Vir[\(G\)]
• Schrödinger invariance and strongly anisotropic critical systems
• Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra
• Structure of Algebras of Weyl Type
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras
• Representations of the Schrödinger–Virasoro algebras

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