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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dc.contributor.author	van Diejen, J.F.
dc.contributor.author	Emsiz, E.
dc.date.accessioned	2019-02-21T07:23:32Z
dc.date.available	2019-02-21T07:23:32Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33D52; 81T25; 81R50; 82B23
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.077
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149369
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Boundary Interactions for the Semi-Infinite q-Boson System and Hyperoctahedral Hall-Littlewood Polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA