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Convex topological algebras via linear vector fields and Cuntz algebras

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Autor(es):
Bock, Wolfgang ; Futorny, Vyacheslav ; Neklyudov, Mikhail
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of Pure and Applied Algebra; v. 225, n. 3, p. 17-pg., 2021-03-01.
Resumo

A realization by linear vector fields is constructed for any Lie algebra which admits a biorthogonal system and for its any suitable representation. The embedding into Lie algebras of linear vector fields is in analogue to the classical Jordan-Schwinger map. A number of examples of such Lie algebras of linear vector fields is computed. In particular, we obtain examples of the twisted Heisenberg-Virasoro Lie algebra and the Schriidinger-Virasoro Lie algebras among others. More generally, we construct an embedding of an arbitrary locally convex topological algebra into the Cuntz algebra. (C) 2020 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
Beneficiário:Ivan Chestakov
Modalidade de apoio: Auxílio à Pesquisa - Temático