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Convex topological algebras via linear vector fields and Cuntz algebras
University of Kaiserslautern, Germany.ORCID iD: 0000-0002-8400-0416
Universidade de Saõ Paulo, Brazil.
UFAM, Brazil.
2021 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 225, no 3, article id 106535Article in journal (Refereed) Published
Abstract [en]

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 Schrödinger-Virasoro Lie algebras among others. More generally, we construct an embedding of an arbitrary locally convex topological algebra into the Cuntz algebra.

Place, publisher, year, edition, pages
Elsevier, 2021. Vol. 225, no 3, article id 106535
National Category
Algebra and Logic
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-124527DOI: 10.1016/j.jpaa.2020.106535ISI: 000573401500012Scopus ID: 2-s2.0-85089485724OAI: oai:DiVA.org:lnu-124527DiVA, id: diva2:1802884
Available from: 2023-10-06 Created: 2023-10-06 Last updated: 2023-10-18Bibliographically approved

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Bock, Wolfgang

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