Artículo
From octonions to composition superalgebras via tensor categories
Autor/es | Daza García, Alberto
Elduque Palomo, Alberto Sayin, Umut |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2024 |
Fecha de depósito | 2024-03-20 |
Publicado en |
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Resumen | The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphisms, by means of the process of semisimplification ... The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphisms, by means of the process of semisimplification of the symmetric tensor category of representations of the cyclic group of order 3. Connections with the extended Freudenthal magic square in characteristic 3, that contains some exceptional Lie superalgebras specific of this characteristic are discussed too. In the process, precise recipes to go from (nonassociative) algebras in this tensor category to the corresponding superalgebras are given. |
Agencias financiadoras | Agencia Estatal de Investigación. España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Gobierno de Aragón |
Identificador del proyecto | MTM2017-83506-C2-1-P
PID2021-123461NB-C21 MCIN/AEI/10.13039/ 501100011033 E22_20R PRE2018-087018 |
Cita | Daza García, A., Elduque Palomo, A. y Sayin, U. (2024). From octonions to composition superalgebras via tensor categories. Revista Matemática Iberoamericana, 40 (1), 129-152. https://doi.org/10.4171/rmi/1408. |
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