| Full text | |
| Author(s): |
Bock, Wolfgang
;
Futorny, Vyacheslav
;
Neklyudov, Mikhail
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 225, n. 3, p. 17-pg., 2021-03-01. |
| Abstract | |
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) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |