Extension of vertex operator algebras by a self-dual simple module
From MaRDI portal
Publication:1355657
DOI10.1006/jabr.1997.6795zbMath0881.17026OpenAlexW1980850274MaRDI QIDQ1355657
Publication date: 5 February 1998
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.6795
Related Items
Twisted Modules and Pseudo-endomorphisms ⋮ Three equivalent rationalities of vertex operator superalgebras ⋮ A family of regular vertex operator algebras with two generators ⋮ Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra ⋮ Extension of Vertex Operator Algebra $V_{\widehat{H}_{4}}(\ell,0)$ ⋮ Combinatorial bases of modules for affine Lie algebra \(B_2^{(1)}\) ⋮ Rationality of affine vertex operator superalgebras with rational conformal weights ⋮ Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\). ⋮ Some general results on conformal embeddings of affine vertex operator algebras ⋮ A note on principal subspaces of the affine Lie algebras in types Bl(1),Cl(1),F4(1) and G2(1) ⋮ Representations of the orbifold VOAS \(L_{\widehat{\mathfrak{sl}_2}}(k,0)^K\) and the commutant VOAS \(C_{{L_{\widehat{\mathfrak{so}_m}}(1,0)}^{\otimes 3}}({L_{\widehat{\mathfrak{so}_m}}(3,0)})\) ⋮ ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS ⋮ The extensions of \({L_{sl_{2}}(k, 0)}\) and preunitary vertex operator algebras with central charges \(c < 1\) ⋮ Mirror extensions of vertex operator algebras ⋮ \(\mathbb{Z}_k\)-code vertex operator algebras ⋮ \(6A\)-algebra and its representations ⋮ Vertex algebra approach to fusion rules for \(N=2\) superconformal minimal models ⋮ A new existence proof of the Monster by VOA theory ⋮ Building vertex algebras from parts ⋮ On vertex algebras and their modules associated with even lattices ⋮ Simple current extensions beyond semi-simplicity ⋮ 3-dimensional Griess Algebras and Miyamoto Involutions ⋮ Generalized parafermions of orthogonal type ⋮ Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classical and quantum conformal field theory
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Generalized vertex algebras and relative vertex operators
- Vertex algebras associated with even lattices
- Twisted modules for vertex algebras associated with even lattices
- Symmetric invariant bilinear forms on vertex operator algebras
- Regularity of rational vertex operator algebras
- 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
- Simple currents and extensions of vertex operator algebras
- Vertex operator superalgebras
- Calculus of twisted vertex operators
- Vertex algebras, Kac-Moody algebras, and the Monster
- A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
- Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
- On axiomatic approaches to vertex operator algebras and modules
- Introduction to Lie Algebras and Representation Theory
