Application of a "Jacobi identity" for vertex operator algebras to zeta values and differential operators
Quantum Algebra
2007-05-23 v2 High Energy Physics - Theory
Number Theory
Rings and Algebras
Representation Theory
Abstract
We explain how to use a certain new "Jacobi identity" for vertex operator algebras, announced in a previous paper (math.QA/9909178), to interpret and generalize recent work of S. Bloch's relating values of the Riemann zeta function at negative integers with a certain Lie algebra of operators.
Keywords
Cite
@article{arxiv.math/9909183,
title = {Application of a "Jacobi identity" for vertex operator algebras to zeta values and differential operators},
author = {James Lepowsky},
journal= {arXiv preprint arXiv:math/9909183},
year = {2007}
}
Comments
20 pages, LaTeX; more exposition and two references added; to appear in Letters in Mathematical Physics