Orthogonal groups over fields of positive characteristic
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| Autor: | |
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| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 2022 |
| Descripción: | This exposition examines the theory of orthogonal groups and their subgroups over fields of positive characteristic, which has recently been used as an important tool in the study of automorphic forms and Langlands functionality. We present the classification of orthogonal groups over a finite field using the theory of bilinear forms and quadratic forms in positive characteristic. Using the determinant and spinor norm when the characteristic of F is odd and using the Dickson invariant when the characteristic of F is even, we also look at special subgroups of the orthogonal group. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/49254 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/49254 |
| Palabra clave: | orthogonal group positive characteristic bilinear form quadratic form Arf invariant Dickson invariant spinorial kernel grupo ortogonal característica positiva forma bilineal forma cuadrática invariante de Arf invariante de Dickson núcleo espinorial |