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періодичних видань НАН України
The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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| dc.contributor.author | Johan van de Leur | |
| dc.date.accessioned | 2019-02-11T17:10:32Z | |
| dc.date.available | 2019-02-11T17:10:32Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints / Johan van de Leur // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 26 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17B69; 17B80; 53D45; 81R10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.007 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146849 | |
| dc.description.abstract | The total descendent potential of a simple singularity satisfies the Kac-Wakimoto principal hierarchy. Bakalov and Milanov showed recently that it is also a highest weight vector for the corresponding W-algebra. This was used by Liu, Yang and Zhang to prove its uniqueness. We construct this principal hierarchy of type D in a different way, viz. as a reduction of some DKP hierarchy. This gives a Lax type and a Grassmannian formulation of this hierarchy. We show in particular that the string equation induces a large part of the W constraints of Bakalov and Milanov. These constraints are not only given on the tau function, but also in terms of the Lax and Orlov-Schulman operators. | 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. I would like to thank Bojko Bakalov for useful discussions and the three referees for valuable suggestions, which improved the paper. | 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 | The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
