Gradings on associative triple systems of the second kind
On this work we study associative triple systems of the second kind. We show that for simple triple systems the automor-phism group scheme is isomorphic to the automorphism group scheme of the 3-graded associative algebra with involution constructed by Loos. This result will allow us to prove our ma...
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/170946 |
| Acesso em linha: | https://hdl.handle.net/11441/170946 https://doi.org/10.1016/j.laa.2024.07.015 |
| Access Level: | acceso abierto |
| Palavra-chave: | Gradings Automorphisms Triple systems |
| Resumo: | On this work we study associative triple systems of the second kind. We show that for simple triple systems the automor-phism group scheme is isomorphic to the automorphism group scheme of the 3-graded associative algebra with involution constructed by Loos. This result will allow us to prove our main result which is a complete classification up to isomor-phism of the gradings of structurable algebras. |
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