Category of trees in representation theory of quantum algebras |
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| Authors: | N M Moskaliuk S S Moskaliuk |
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| Institution: | 1. Bogolyubov Institute for Theoretical Physics, NAS of Ukraine, Kiev, Ukraine
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| Abstract: | New applications of categorical methods are connected with new additional structures on categories. One of such structures in representation theory of quantum algebras, the category of Kuznetsov-Smorodinsky-Vilenkin-Smirnov (KSVS) trees, is constructed, whose objects are finite rooted KSVS trees and morphisms generated by the transition from a KSVS tree to another one. |
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