2009/07/02 by Anton Gerasimov, Gerasimov, Anton, Dimitri Lebedev +3
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT
paper · pdf · doi:10.48550/arxiv.0907.0299
28 pages
arxiv created 2009/07/02 · arxiv updated 2009/12/01
We conjecture an explicit construction of integral operators intertwining various quantum Toda chains. Compositions of the intertwining operators provide recursive and Q-operators for quantum Toda chains. In particular we propose a generalization of our previous results for Toda chains corresponding to classical Lie algebra to the generic BCn and Inozemtsev Toda chains. We also conjecture explicit form of Q-operators for closed Toda chains corresponding to Lie algebras B∞, C∞, D∞, affine Lie algebras B(1)n, C(1)n, D(1)n, D(2)n, A(2)2n-1, A(2)2n and the affine analogs of BCn and Inozemtsev Toda chains.