CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae

van de Leur, J. W.; Orlov, A.Y.; Shiota, T.

CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae

dc.contributor.author	van de Leur, J. W.
dc.contributor.author	Orlov, A.Y.
dc.contributor.author	Shiota, T.
dc.date.accessioned	2019-02-18T12:24:05Z
dc.date.available	2019-02-18T12:24:05Z
dc.date.issued	2012
dc.description.abstract	We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci. Publ., Teaneck, NJ, 1989, 369-406]). We present appropriate bosonization formulae. We show that in the context of the CKP theory certain orthogonal polynomials appear. These polynomials are polynomial both in even and odd (in Grassmannian sense) variables.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html. The authors thank J. Harnad for many discussions on related topics. This work has been partially supported by the European Union through the FP6 Marie Curie RTN ENIGMA (Contract no. MRTN-CT-2004-5652), the European Science Foundation Program MISGAM, by RFBR grant 11-01-00440-a, and by JSPS-RFBR grant 10-01-92104 JF.	uk_UA
dc.identifier.citation	CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae / J.W. van de Leur, A.Y. Orlov, T. Shiota // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 19 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B65; 17B67; 17B69; 20G43; 81R12
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.036
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/148441
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.status	published earlier	uk_UA
dc.title	CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae	uk_UA
dc.type	Article	uk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік