Lattice structure of modular vertex algebras

  title={Lattice structure of modular vertex algebras},
  author={Haoru Huang and Naihuan Jing},
  journal={Journal of Algebra},


Lattice vertex algebras over fields of prime characteristic
Modular Virasoro vertex algebras and affine vertex algebras
Vertex Operator Algebras and the Monster
Modular affine vertex algebras and baby Wakimoto modules
We develop some basic properties such as $p$-centers of affine vertex algebras and free field vertex algebras in prime characteristic. We show that the Wakimoto-Feigin-Frenkel homomorphism preserves
Heisenberg VOAs over Fields of Prime Characteristic and Their Representations
In this paper, we study Heisenberg vertex algebras over fields of prime characteristic. The new feature is that the Heisenberg vertex algebras are no longer simple unlike in the case of
Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
The vertex operator algebras and modules associated to the highest weight modules for the Virasoro algebra over an arbitrary field F whose characteristic is not equal to 2 are studied. The
Vertex algebras, Kac-Moody algebras, and the Monster.
  • R. Borcherds
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1986
An integral form is constructed for the universal enveloping algebra of any Kac-Moody algebras that can be used to define Kac's groups over finite fields, some new irreducible integrable representations, and a sort of affinization of anyKac-moody algebra.
Canonical Basis and Macdonald Polynomials
Abstract In the basic representation of[formula]realized via the algebra of symmetric functions, we compare the canonical basis with the basis of Macdonald polynomials where t = q 2 . We show that