Mathematics – Quantum Algebra
Scientific paper
1995-04-20
Mathematics
Quantum Algebra
20 pages, (amstex.tex (ver. 2.1) is required)
Scientific paper
We prove that Bethe vectors generically form a base in a tensor product of
irreducible heighest weight $gl_2$-modules or $U_q(gl_2)$-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.
Tarasov Vitaly
Varchenko Alexander
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