Borwein identity and vertex operator algebras

JOURNAL OF NUMBER THEORY

卷:82

Article

Kitazume, M ; Miyamoto, M ; Yamada, H

关键词: Borwein identity;    Jacobi identity;    lattice vertex operator algebras;    Weyl groups;    Root lattices;   

DOI  :  10.1006/jnth.1999.2482

来源: Elsevier

【 摘 要 】

We will prove the Borwein identity by computing the characters of some automorphisms of the lattice vertex operator algebra (VOA) of type E-6. As similar examples, we will prove two identities containing the famous Jacobi identity, which was also obtained from the VOA of type D-4 by Frenkel-Lepowsky Meurman. Our method is a variant of observations made by the above authors. (C) 2000 Academic Press.

【 授权许可】

Free