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

Koji Hasegawa

doi:10.1063/1.530735

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

Koji Hasegawa

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

For the Z/nZ symmetric elliptic R matrix, L operators which act on the space of A_n-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.

Original language	English
Pages (from-to)	6158-6171
Number of pages	14
Journal	Journal of Mathematical Physics
Volume	35
Issue number	11
DOIs	https://doi.org/10.1063/1.530735
Publication status	Published - 1994 Jan 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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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.",

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AB - 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.

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

Abstract

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