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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 048, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.048 (Mi sigma831) 		 
This article is cited in 26 scientific papers (total in 26 papers)

Combinatorial Formulae for Nested Bethe Vectors

Vitaly Tarasovab, Alexander Varchenkoc

a Department of Mathematical Sciences, Indiana University – Purdue University Indianapolis, 402 North Blackford St, Indianapolis, IN 46202-3216, USA
b St. Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
c Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA
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DOI: https://doi.org/10.3842/SIGMA.2013.048
Abstract: We give combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for tensor products of irreducible evaluation modules over the Yangian $Y({\mathfrak{gl}}_N)$ and the quantum affine algebra $U_q(\widetilde{{\mathfrak{gl}}_N})$.
Keywords: weight functions; nested Bethe vectors; algebraic Bethe ansatz.
Received: March 21, 2013; in final form June 27, 2013; Published online July 19, 2013
Bibliographic databases:
Document Type: Article
MSC: 82B23; 17B80; 17B37; 81R50
Language: English
Citation: Vitaly Tarasov, Alexander Varchenko, “Combinatorial Formulae for Nested Bethe Vectors”, SIGMA, 9 (2013), 048, 28 pp.
Citation in format AMSBIB
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