Combinatorial Formulae for Nested Bethe Vectors

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Tarasov, V., Varchenko, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149340
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Combinatorial Formulae for Nested Bethe Vectors / V. Tarasov, A. Varchenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ.

We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian Y(glN) and the quantum affine algebra Uq(glN˜).