Populations of solutions of the XXX Bethe equations associated to Kac-Moody algebras
classification
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solutionsassociatedbethegivenkac-moodypopulationsalgebraalgebras
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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.
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