Посилання:Combinatorial Formulae for Nested Bethe Vectors / V. Tarasov, A. Varchenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ.
Підтримка:This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html.
The authors thank the Max-Planck-Institut f¨ur Mathematik in Bonn for hospitality. V. Tarasov
was supported in part by NSF grant DMS–0901616. A. Varchenko was supported in part by
NSF grants DMS–1101508.
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˜).