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oai:riuma.uma.es:10630/399392026-02-03T11:08:36Zcom_10630_2254col_10630_37953

Linear models of the exceptional Lie algebra e8 Cabrera-Casado, Yolanda Draper-Fontanals, Cristina Garvin-García, Antonio José Algebra multilineal Lie, Algebras de, excepcionales Matemáticas aplicadas Exceptional Lie algebra Gradings Constructions Multilinear algebra Irreducible modules This work presents five explicit constructions of the exceptional Lie algebra e8, each associated with 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 neutral component is a direct sum of special linear algebras, while the remaining homogeneous components are irreducible modules over it. Funding for open access charge: Universidad de Málaga / CBUA 2025-09-16T11:40:12Z 2025-09-16T11:40:12Z 2025-08-06 journal article VoR 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 https://hdl.handle.net/10630/39939 10.1007/s13398-025-01768-3 eng Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ open access application/pdf Springer