Colóquio: Codes, S-structures, and exceptional Lie algebras

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Colóquio: Codes, S-structures, and exceptional Lie algebras

Resumo
S-structures on Lie algebras have been defined recently by Vinberg, as an extension of gradings by abelian groups. In this talk it will be shown how the exceptional simple Lie algebras of types E7 and E8are endowed with some SL2n-structures, and are thus described very nicely in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so called code algebras. The involved codes are the simplex [7,3,4] and the extended Hamming [8,4,4] binary codes.

Alberto Elduque
Univ. of Zaragoza, Spain

 

Este colóquio é organizado pelo Centro de Matemática da Universidade de Coimbra e pelo Departamento de Matemática da Universidade de Coimbra.

fevereiro 13 2019

Detalhes

Data: fevereiro 13
Hora: 15:00 - 17:00
Evento Categorias: , , , ,

Local

Departamento de Matemática, FCTUC

Praça Dom Dinis
Coimbra, Coimbra 3001-501 Portugal

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+351239791150

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Organizadores

Centre for Mathematics of University of Coimbra
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Department of Mathematics of University of Coimbra