RT Journal Article
T1 Linear models of the exceptional Lie algebra e8
A1 Cabrera-Casado, Yolanda
A1 Draper-Fontanals, Cristina
A1 Garvin-García, Antonio José
K1 Algebra multilineal
K1 Lie, Algebras de, excepcionales
K1 Matemáticas aplicadas
AB This work presents five explicit constructions of the exceptional Lie algebra e8, each associatedwith a semisimple subalgebra of maximal rank. The provided models are based on gradings by finite abelian groups, namely, Z4, Z5, Z6, Z2 3, and Z2 ×Z4. In all cases, the neutralcomponent is a direct sum of special linear algebras, while the remaining homogeneouscomponents are irreducible modules over it.
PB Springer
YR 2025
FD 2025-08-06
LK https://hdl.handle.net/10630/39939
UL https://hdl.handle.net/10630/39939
LA eng
NO Cabrera, Y., Draper, C. & Garvín, A. Linear models of the exceptional Lie algebra . Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 119, 108 (2025). https://doi.org/10.1007/s13398-025-01768-3
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026