Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra
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Publication:3544584
DOI10.1063/1.2834916zbMath1153.81394arXiv0801.2806OpenAlexW3106389143MaRDI QIDQ3544584
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.2806
Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Related Items (25)
Tensor product modules over the twisted Heisenberg–Virasoro algebra ⋮ Representations of the affine-Virasoro algebra of type \(A_1\) ⋮ Irreducible modules over the mirror Heisenberg–Virasoro algebra ⋮ Dual Lie Bialgebra Structures of Twisted Schrödinger-Virasoro Type ⋮ Simple Heisenberg-Virasoro modules from Weyl algebra modules ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ The deformed twisted Heisenberg–Virasoro type Lie bialgebra ⋮ Deformations on the twisted Heisenberg-Virasoro algebra ⋮ Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra ⋮ A class of simple non-weight modules over the virasoro algebra ⋮ Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra ⋮ Representations of the ExtendedW-Algebra ⋮ Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Irreducible twisted Heisenberg-Virasoro modules from tensor products ⋮ Classification of irreducible weight modules over W-algebra W(2,2) ⋮ Harish-Chandra modules for divergence zero vector fields on a torus ⋮ Structure of the Extended Schrödinger–Virasoro Lie Algebra $\widetilde{\mathfrak{sv}}$ ⋮ Two classes of non-weight modules over the twisted Heisenberg-Virasoro algebra ⋮ Tensor product weight modules of Schrödinger-Virasoro algebras ⋮ A class of simple weight modules over the twisted Heisenberg-Virasoro algebra ⋮ Generalized Heisenberg-Virasoro algebras ⋮ Whittaker modules for the twisted Heisenberg–Virasoro algebra ⋮ The deformed Lie algebra of differential operators of order at most one ⋮ Realizations of conformal current-type Lie algebras ⋮ BALINSKY–NOVIKOV SUPERALGEBRAS AND SOME INFINITE-DIMENSIONAL LIE SUPERALGEBRAS
Cites Work
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- Differential operator Lie algebras on the ring of Laurent polynomials
- Hilbert-Dirac operators in Clifford analysis
- Representations of the Twisted Heisenberg–Virasoro Algebra and the Full Toroidal Lie Algebras
- Spinor representations of affine Lie algebras
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- Representations of Virasoro-Heisenberg Algebras and Virasoro-Toroidal Algebras
- Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero
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