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Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials
Інший ID:
2010 Mathematics Subject Classification: 33D52; 81T25; 81R50; 82B23
DOI: http://dx.doi.org/10.3842/SIGMA.2013.077
DOI: http://dx.doi.org/10.3842/SIGMA.2013.077
Посилання:
Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials / J.F. van Diejen, E. Emsiz // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 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.
We are grateful to Alexei Borodin and Ivan Corwin for helpful email exchanges and thank the
referees for their constructive comments. This work was supported in part by the Fondo Nacional
de Desarrollo Cient´ıfico y Tecnol´ogico (FONDECYT) Grants # 1130226 and # 11100315, and by
the Anillo ACT56 ‘Reticulados y Simetr´ıas’ financed by the Comisi´on Nacional de Investigaci´on
Cient´ıfica y Tecnol´ogica (CONICYT).
Дата:
2013
Переглядів:
411
Завантажень:
206
Анотація:
We present a semi-infinite q-boson system endowed with a four-parameter boundary interaction. The n-particle Hamiltonian is diagonalized by generalized Hall-Littlewood polynomials with hyperoctahedral symmetry that arise as a degeneration of the Macdonald-Koornwinder polynomials and were recently studied in detail by Venkateswaran.
