Article
Cross products, automorphisms, and gradings
Author/s | Daza García, Alberto
![]() ![]() ![]() ![]() Elduque Palomo, Alberto Tang, Liming |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2021-02-01 |
Deposit Date | 2024-03-20 |
Published in |
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Abstract | 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, ... 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. |
Funding agencies | Agencia Estatal de Investigación. España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Gobierno de Aragón National Natural Science Foundation of China |
Project ID. | MTM2017-83506-C2-1
![]() E22_17R ![]() A20170 ![]() 11971134 ![]() A2017005 ![]() XKB2014003 ![]() |
Citation | Daza García, A., Elduque Palomo, A. y Tang, L. (2021). Cross products, automorphisms, and gradings. Linear Algebra and its Applications, 610, 227-256. https://doi.org/10.1016/j.laa.2020.09.043. |
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