Bases of Bethe Vectors and Difference Equations with Regular Singular Points
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We prove that Bethe vectors generically form a base in a tensor product of irreducible heighest weight -modules or -modules. We apply this result to difference equations with regular singular points. We show that if such an equation has local solutionss at each of its singular point, then generically it has a polynomial solution.
Cite
@article{arxiv.q-alg/9504011,
title = {Bases of Bethe Vectors and Difference Equations with Regular Singular Points},
author = {Vitaly Tarasov and Alexander Varchenko},
journal= {arXiv preprint arXiv:q-alg/9504011},
year = {2008}
}
Comments
20 pages, (amstex.tex (ver. 2.1) is required)