On the universal weight function for the quantum affine algebra U_q(\mathfrakgl_N)

2007/11/18 by A. Oskin, Oskin, A., S. Pakuliak +3
Mathematics · Physics and Astronomy · #16W30 #17B37 #81R50 #82B23 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA #msc:16W30 #msc:17B37 #msc:81R50 #msc:82B23 #nlin.SI

paper · pdf · doi:10.48550/arxiv.0711.2821

35 pages, typos corrected

arxiv created 2007/11/21 · arxiv updated 2009/12/01

Abstract

We continue investigation of the universal weight function for the quantum affine algebra U_q(\mathfrakgl_N) started in arXiv:math/0610517 and arXiv:0711.2819. We obtain two recurrence relations for the universal weight function applying the method of projections developed in arXiv:math/0610398. On the level of the evaluation representation of U_q(\mathfrakgl_N) we reproduce both recurrence relations for the off-shell Bethe vectors calculated in arXiv:math/0702277 using combinatorial methods.

Citations

• A computation of an universal weight function for the quantum affine algebra U_q(\mathfrakgl_N)
• Weight functions and Drinfeld currents

Related

• A computation of an universal weight function for the quantum affine algebra U_q(\mathfrakgl_N)
• Weight functions and Drinfeld currents
• Multiple commutation relations of the quantum affine algebra U_q(\widehat\mathfrakgl_N), nested Bethe vector and the Gelfand-Tsetlin basis
• Quantum \mathfrakgl-weight system and its average values
• Level one representations of U_q(G₂⁽¹⁾)