Cross products, automorphisms, and gradings
The affine group schemes of automorphisms of the multilinear rfold cross products on finite-dimensional vectors spaces over fields of characteristic not two are determined. Gradings by abelian groups on these structures, that correspond to morphisms from diagonalizable group schemes into these group...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/156443 |
| Acceso en línea: | https://hdl.handle.net/11441/156443 https://doi.org/10.1016/j.laa.2020.09.043 |
| Access Level: | acceso abierto |
| Palabra clave: | Cross product Automorphism group scheme Grading |
| Sumario: | The affine group schemes of automorphisms of the multilinear rfold cross products on finite-dimensional vectors spaces over fields of characteristic not two are determined. Gradings by abelian groups on these structures, that correspond to morphisms from diagonalizable group schemes into these group schemes of automorphisms, are completely classified, up to isomorphism. |
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