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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This article is dedicated to memory of Prof. A.N. Sissakian. The community of physicits in the Bogoliubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine regrets to have lost someone who not only was an eminent physicist, but also a friend and colleague to many of us. All Ukrainian scientists will always keep the memory of Prof. A. N. Sissakian in highest esteem.
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Moskaliuk, N.M., Moskaliuk, S.S. Category of trees in representation theory of quantum algebras. Phys. Atom. Nuclei 76, 1257–1267 (2013). https://doi.org/10.1134/S1063778813090111
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DOI: https://doi.org/10.1134/S1063778813090111