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paper

Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras

arXiv:math/0212092

Abstract

We consider the XXX Bethe equation associated with integral dominant weights of a Kac-Moody algebra and introduce a generating procedure constructing new solutions starting from a given one. The family of all solutions constructed from a given one is called a population. We describe properties of populations.

Latex, 8 pages