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Information × Registration Number 0216U007374, 0114U005346 , R & D reports Title Representation theory, homological algebra and integrable systems of mathematical physics popup.stage_title Head Iorgov Nikolai Zinov'evich, Registration Date 08-11-2016 Organization Bogolyubov Institute of Theoretical Physics NAS of Ukraine popup.description2 The tau-functions for supersymmetric gauge theories of quiver type were constructed. The transformation properties of conformal blocks of Virasoro algebra were studied and isomonodromic tau-functions corresponding to Fuchsian systems of rank 2 were constructed. The Whittacker vectors were constructed and used for derivation of bilinear relations on tau-functions of Painleve equations. A set of homotopically unital morphisms with n entries is constructed by means of operad action of homotopically unital A-infinity algebras. A construction of operad and co-operad in multitensor categories was invented. Product Description popup.authors Іоргов М.З. Безвершенко Ю.В. Гавриленко П.Г. Гамаюн О.В. Журавльов Ю.В. Любашенко В.В. Семенякін М.І. Щечкін А.І. popup.nrat_date 2020-04-02 Close