28.11.2020

Steven Duplij. POLYADIC SYSTEMS, REPRESENTATIONS AND QUANTUM GROUPS

Abstract. Polyadic systems and their representations are reviewed and a classification of general
polyadic systems is presented. A new multiplace generalization of associativity preserving homomorphisms, a ’heteromorphism’ which connects polyadic systems having unequal arities, is introduced
via an explicit formula, together with related definitions for multiplace representations and multiactions. Concrete examples of matrix representations for some ternary groups are then reviewed. Ternary algebras and Hopf algebras are defined, and their properties are studied. At the end some ternary generalizations of quantum groups and the Yang-Baxter equation are presented.

На полный экран

Добавить комментарий

Ваш адрес email не будет опубликован. Обязательные поля помечены *

Этот сайт использует Akismet для борьбы со спамом. Узнайте как обрабатываются ваши данные комментариев.