Identidades polinomiais graduadas para a álgebra das matrizes triangulares superiores sobre um corpo finito
Let K be a field of characteristic p and let UTn = UTn(K) be the algebra of n x n upper triangular matrices over K with the usual product a . b of the elements a,b ∈ UTn. In this thesis we describe the set of all G-graded polynomial identities of UTn, where G is any group and K is any finite field....
| Autor: | |
|---|---|
| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Brasil |
| Institución: | Universidade Federal de São Carlos (UFSCAR) |
| Repositorio: | Repositório Institucional da UFSCAR |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufscar.br:20.500.14289/15540 |
| Acceso en línea: | https://repositorio.ufscar.br/handle/20.500.14289/15540 |
| Access Level: | acceso abierto |
| Palabra clave: | PI-álgebra Identidades polinomiais graduadas Matrizes triangulares superiores Álgebras de Lie Propriedade de Specht PI-algebra Graded polynomial identities Upper triangular matrices Lie algebras Specht property CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA::GRUPOS DE ALGEBRA NAO-COMUTAVIVA |
| Sumario: | Let K be a field of characteristic p and let UTn = UTn(K) be the algebra of n x n upper triangular matrices over K with the usual product a . b of the elements a,b ∈ UTn. In this thesis we describe the set of all G-graded polynomial identities of UTn, where G is any group and K is any finite field. The vector space UTn with the new product [a,b] = a . b - b . a is a Lie algebra, denoted by UTn^(-). We describe the set of all G-graded polynomial identities of UT2^(-), where G is any abelian group and K is any field with characteristic p ≠ 2. |
|---|