Vertex algebroids and Conformal vertex algebras associated with simple Leibniz algebras
@article{Bui2020VertexAA, title={Vertex algebroids and Conformal vertex algebras associated with simple Leibniz algebras}, author={Thuy Thu Thi Bui and Gaywalee Yamskulna}, journal={arXiv: Quantum Algebra}, year={2020} }
2 Citations
Local derivations of semisimple Leibniz algebras
- MathematicsCommunications in Mathematics
- 2022
We prove that every local derivation on a complex semisimple
finite-dimensional Leibniz algebra is a derivation.
On $\mathbb{N}$-graded vertex algebras associated with cyclic Leibniz algebras with small dimensions
- Mathematics
- 2023
The main goals for this paper is i) to study of an algebraic structure of Ngraded vertex algebras VB associated to vertex A-algebroids B when B are cyclic non-Lie left Leibniz algebras, and ii) to…
References
SHOWING 1-10 OF 57 REFERENCES
On indecomposable vertex algebras associated with vertex algebroids
- MathematicsJournal of Algebra
- 2020
$${C_2}$$C2 -Cofiniteness of Cyclic-Orbifold Models
- Mathematics
- 2015
We prove an orbifold conjecture for conformal field theory with a solvable automorphism group. Namely, we show that if V is a $${C_2}$$C2 -cofinite simple vertex operator algebra and G is a finite…
The N = 1 Triplet Vertex Operator Superalgebras
- Mathematics
- 2009
We introduce a newfamily of C2-cofinite N = 1 vertex operator superalgebras $${\mathcal{SW}(m)}$$, m ≥ 1, which are natural super analogs of the triplet vertex algebra family $${\mathcal{W}(p)}$$, p…
Twisted modules for vertex algebras associated with vertex algebroids
- Mathematics
- 2005
We continue the work in our earlier paper, ?On certain vertex algebras and their modules associated with vertex algebroids?, J. Algebra 283 (2005), 367?398, to construct and classify graded simple…
C2-Cofiniteness of 2-Cyclic Permutation Orbifold Models
- Mathematics
- 2011
AbstractIn this article, we consider permutation orbifold models of C2-cofinite vertex operator algebras of CFT type. We show the C2-cofiniteness of the 2-cyclic permutation orbifold model $${(V…
Modular invariance of vertex operator algebras satisfying $C_{2}$-cofiniteness
- Mathematics
- 2002
We show that C_2-cofiniteness is enough to prove a modular invariance property of vertex operator algebras without assuming the semisimplicity of Zhu algebra. For example, if a VOA…
A $$\mathbb{Z}_{2}$$-orbifold model of the symplectic fermionic vertex operator superalgebra
- Mathematics
- 2007
We give an example of an irrational C2-cofinite vertex operator algebra whose central charge is −2d for any positive integer d. This vertex operator algebra is given as the even part of the vertex…
Annihilating fields of standard modules of sl(2, C)~ and combinatorial identies
- Mathematics
- 1998
We show that a set of local admissible fields generates avertex algebra. For an affine Lie algebra $ ildegoth g$ we construct the corresponding level $k$ vertex operator algebra and we show that…