Vertex operator algebras and the zeta function
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Number Theory
Rings and Algebras
Representation Theory
Abstract
We announce a new type of "Jacobi identity" for vertex operator algebras, incorporating values of the Riemann zeta function at negative integers. Using this we "explain" and generalize some recent work of S. Bloch's relating values of the zeta function with the commutators of certain operators and Lie algebras of differential operators.
Cite
@article{arxiv.math/9909178,
title = {Vertex operator algebras and the zeta function},
author = {James Lepowsky},
journal= {arXiv preprint arXiv:math/9909178},
year = {2007}
}
Comments
21 pages, LaTeX, to be published in Contemporary Math., Vol. 248