Addition Formulae for Non-Abelian Theta Functions and Applications
arXiv:math/0008005
Abstract
This paper generalizes for non-abelian theta functions a number of formulae valid for theta functions of Jacobian varieties. The addition formula, the relation with the Szego kernel and with the multicomponent KP hierarchy and the behavior under cyclic coverings are given.
New enlarged version (25 pages). It will appear in Journal of Geometry and Physics. Section 3 has been modified and two new sections have been added