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Semigroup $C^*$-algebras and their representations
September 12, 2013 17:00, Kazan, Kazan State Power Engineering University, Krasnosel'skaya st., 51, D-408
 


Polyadic systems, representations and quantum groups

S. A. Duplij

V. N. Karazin Kharkiv National University

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S. A. Duplij
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Abstract: A review of polyadic systems and their representations is given. The classification of general polyadic systems is done. The multiplace generalization of homomorphisms, preserving associativity, is presented. The multiplace representations and multiactions are defined, concrete examples of matrix representations for some ternary groups are given. The ternary algebras and Hopf algebras are defined, their properties are studied. At the end some ternary generalizations of quantum groups and the Yang-Baxter equation are presented.

Language: English

Website: http://www.mathnet.ru/php/person.phtml?option_lang=rus&personid=17918

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