Tilting theory, matrix problems and representations of linear groups
Minimal set of differential invariants of an extended loop group arising in fluid ...
Mikhail Vladimirovich Zaicev | Moscow State University - Rússia
| Full text | |
| Author(s): |
Vilca Rodriguez, Jose L.
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508900 Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 50, n. 4 OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we study partial group actions on Lie algebras. We describe the structure of the inverse semigroup of all partial automorphisms (isomorphisms between ideals) of a finite-dimensional reductive Lie algebra. Also, we show that every partial group action on a finite-dimensional semisimple Lie algebra admits a globalization, unique up to isomorphism. As a consequence, we obtain that the globalization problem for partial group actions on reductive Lie algebra is equivalent to the globalization problem on its center. (AU) | |
| FAPESP's process: | 19/08659-8 - Lie algebras: isomorphisms and actions |
| Grantee: | Jose Luis Vilca Rodriguez |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |