JournalsprimsVol. 31, No. 1pp. 1–32

Automorphisms of the Extended Affine Root System and Modular Property for the Flat Theta Invariants

  • Ikuo Satake

    Osaka University, Japan
Automorphisms of the Extended Affine Root System and Modular Property for the Flat Theta Invariants cover
Download PDF

Abstract

We define the central extension ~Aut+(R) of the automorphism group Aut+(R) of the extended affine root system. We give the action of ~Aut+(R) on the flat theta invariants (theta functions). This describes the modular property for the flat theta invariants.

Cite this article

Ikuo Satake, Automorphisms of the Extended Affine Root System and Modular Property for the Flat Theta Invariants. Publ. Res. Inst. Math. Sci. 31 (1995), no. 1, pp. 1–32

DOI 10.2977/PRIMS/1195164788