Open AccessSmash product construction of modular lattice vertex algebras
Author(s) -
Qiang Mu,
AUTHOR_ID
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022011
Subject(s) - vertex (graph theory) , operator product expansion , modular design , lattice (music) , vertex operator algebra , mathematics , pure mathematics , operator algebra , combinatorics , physics , algebra over a field , computer science , mathematical physics , jordan algebra , algebra representation , graph , acoustics , operating system
Motivated by a work of Li, we study nonlocal vertex algebras and their smash products over fields of positive characteristic. Through smash products, modular vertex algebras associated with positive definite even lattices are reconstructed. This gives a different construction of the modular vertex algebras obtained from integral forms introduced by Dong and Griess in lattice vertex operator algebras over a field of characteristic zero.