Посилання:Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.
Підтримка:This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html.
This work was supported in part by the Fondo Nacional de Desarrollo Cient´ıf ico y Tecnol´ogico
(FONDECYT) Grants # 1130226 and # 1141114.
We provide explicit formulas for the quantum integrals of a semi-infinite q-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a q→0 Hall-Littlewood type degeneration of the Macdonald-Koornwinder polynomials.