On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
From MaRDI portal
Publication:2581280
DOI10.1016/j.jpaa.2005.05.005zbMath1097.17016arXivmath/0409364OpenAlexW1989497392MaRDI QIDQ2581280
Lin Zhang, Haisheng Li, Yi-Zhi Huang, James Lepowsky
Publication date: 9 January 2006
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409364
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items
NGK and HLZ: Fusion for Physicists and Mathematicians, Cofiniteness conditions, projective covers and the logarithmic tensor product theory, Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules, C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations, A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On quantum Galois theory
- Vertex operator algebras and associative algebras
- Vertex algebras generated by Lie algebras
- Generalized vertex algebras and relative vertex operators
- Symmetric invariant bilinear forms on vertex operator algebras
- Two-dimensional conformal geometry and vertex operator algebras
- Introduction to vertex operator algebras and their representations
- A theory of tensor products for module categories for a vertex operator algebra. III
- A theory of tensor products for module categories for a vertex operator algebra. IV
- A theory of tensor products for module categories for a vertex operator algebra. I
- A theory of tensor products for module categories for a vertex operator algebra. II
- Local systems of vertex operators, vertex superalgebras and modules
- An analogue of the Hom functor and a generalized nuclear democracy theorem
- A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA
- Vertex algebras, Kac-Moody algebras, and the Monster
- Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
- Annihilating fields of standard modules of 𝔰𝔩(2,ℭ)^{∼} and combinatorial identities