L-operator for Belavin's R-matrix acting on the space of theta functions

Abstract

For the Z/nZ symmetric elliptic R matrix, L operators which act on the space of An-1(1) integrable characters, or the affine Weyl group invariants, of the fixed level l, are constructed. For l=1, the matrix elements of the L operator and those of the R matrix are shown to be the same. © 1994 American Institute of Physics.