Partial actions and partial representations, cohomology and applications
Mikhail Vladimirovich Zaicev | Moscow State University - Rússia
Partial actions and representations, cohomology and globalization
| Full text | |
| Author(s): |
Dokuchaev, Mikhailo
;
Rodriguez, Jose L. Vilca
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 636, p. 23-pg., 2023-09-20. |
| Abstract | |
We give necessary and sufficient conditions for the existence of a semiprime globalization for a partial group action on a semiprime Lie algebra L, and with an additional reasonable condition, we show that this semiprime globalization is unique up to isomorphism. Moreover, under the same condition we prove that any globalizable partial group action on L induces a globalizable partial group action on its maximal quotient algebra. For Jordan algebras, we show that a globalizable partial group action on a unital Jordan algebra J induces a globalizable partial group action on the unital special universal envelope for J.(c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 20/16594-0 - Non commutative rings and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/08659-8 - Lie algebras: isomorphisms and actions |
| Grantee: | Jose Luis Vilca Rodriguez |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |