Vertex algebras generated by Lie algebras
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Publication:1295701
DOI10.1016/S0022-4049(97)00144-8zbMath0929.17034arXivmath/9901095OpenAlexW2056185580WikidataQ115340085 ScholiaQ115340085MaRDI QIDQ1295701
Publication date: 20 July 1999
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9901095
vertex operator algebrasrepresentationsLie algebra generated by a conformal algebratwisted representationsvertex Lie algebra
Related Items (34)
On twisted representations of vertex algebras. ⋮ Jacobi identity for vertex algebras in higher dimensions ⋮ Vertex operator realizations of conformal superalgebras ⋮ On certain generalizations of the Schrödinger-Virasoro algebra ⋮ Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex ⋮ On a family of vertex operator superalgebras ⋮ On certain generalizations of twisted affine Lie algebras and quasimodules for \(\Gamma\) -vertex algebras ⋮ Cocommutative vertex bialgebras ⋮ Extended Griess Algebras and Matsuo-Norton Trace Formulae ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ A remark on simplicity of vertex algebras and Lie conformal algebras ⋮ Quantum affine vertex algebras associated to untwisted quantum affinization algebras ⋮ Vertex algebras and TKK algebras ⋮ Vertex Lie algebras and cyclotomic coinvariants ⋮ Drinfeld-type presentations of loop algebras ⋮ Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori ⋮ A SMASH PRODUCT CONSTRUCTION OF NONLOCAL VERTEX ALGEBRAS ⋮ A remark on the \(C_2\)-cofiniteness condition on vertex algebras ⋮ An analog of the Feigin-Frenkel homomorphism for double loop algebras ⋮ Finite vertex algebras and nilpotence ⋮ Modules-at-infinity for quantum vertex algebras ⋮ \((G, \chi_\varphi )\)-equivariant \(\varphi \)-coordinated quasi modules for vertex algebras ⋮ Vertex coalgebras, comodules, cocommutativity and coassociativity ⋮ \(\phi_\varepsilon\)-coordinated modules for vertex algebras ⋮ On certain vertex algebras and their modules associated with vertex algebroids ⋮ Freely generated vertex algebras and nonlinear Lie conformal algebras ⋮ Vertex Poisson Algebras Associated with Courant Algebroids ⋮ VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS ⋮ Irreducible modules of toroidal Lie algebras arising from \(\phi_\varepsilon\)-coordinated modules of vertex algebras ⋮ Strongly graded vertex algebras generated by vertex Lie algebras ⋮ Abelianizing vertex algebras ⋮ Certain generating subspaces for vertex operator algebras ⋮ Left-symmetric conformal algebras and vertex algebras ⋮ On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
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