On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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dc.contributor.author	Kirillov, A.N.
dc.date.accessioned	2019-02-14T18:13:23Z
dc.date.available	2019-02-14T18:13:23Z
dc.date.issued	2016
dc.identifier.citation	On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials / A.N. Kirillov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 142 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14N15; 53D45; 16W30
dc.identifier.other	DOI:10.3842/SIGMA.2016.002
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147419
dc.description.abstract	We study some combinatorial and algebraic properties of certain quadratic algebras related with dynamical classical and classical Yang-Baxter equations.	uk_UA
dc.description.sponsorship	I would like to express my deepest thanks to Professor Toshiaki Maeno for many years fruitful collaboration. I’m also grateful to Professors Yu. Bazlov, I. Burban, B. Feigin, S. Fomin, A. Isaev, M. Ishikawa, M. Noumi, B. Shapiro and Dr. Evgeny Smirnov for fruitful discussions on dif ferent stages of writing [72]. My special thanks are to Professor Anders Buch for sending me the programs for computation of the β-Grothendieck and double β-Grothendieck polynomials. Many results and examples in the present paper have been checked by using these programs, and Professor Ole Warnaar (University of Queenslad) for a warm hospitality and a kind interest and fruitful discussions of some results from [72] concerning hypergeometric functions.	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	On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA