| Texto completo | |
| Autor(es): |
Gorodski, Claudio
;
Kashuba, Iryna
;
Martin, Maria Eugenia
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS IN CONTEMPORARY MATHEMATICS; v. N/A, p. 37-pg., 2024-05-04. |
| Resumo | |
We study the variety of complex n-dimensional Jordan algebras using techniques from Geometric Invariant Theory. More specifically, we use the Kirwan-Ness theorem to construct a Morse-type stratification of the variety of Jordan algebras into finitely many invariant locally closed subsets, with respect to the energy functional associated to the canonical moment map. In particular we obtain a new, cohomology-free proof of the well-known rigidity of semisimple Jordan algebras in the context of the variety of Jordan algebras. (AU) | |
| Processo FAPESP: | 16/23746-6 - Técnicas algébricas, topológicas e analíticas em geometria diferencial e análise geométrica |
| Beneficiário: | Paolo Piccione |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |