Combinatorial formulae for nested Bethe vectors

Details Combinatorial formulae for nested Bethe vectors Combinatorial formulae for nested Bethe vectors

2007-02-10

arxiv.org/abs/math/0702277v1

Mathematics

Quantum Algebra

31 pages, amstex.tex, ver 2.2

Scientific paper

We give combinatorial formulae for nested Bethe vectors (vector-valued weight
functions) for tensor products of irreducible evaluation modules over the
Yangian $Y(gl_N)$ and the quantum affine algebra $U_q(\widetilde{gl_N})$.
The results of the paper were obtained in 1998 and were used in
math.QA/9905137, math.QA/0302148, math.QA/0610517.

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