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

Mathematics – Quantum Algebra

Scientific paper

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Latex, 8 pages

Scientific paper

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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