2026-05-27T22:27:23Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/193672026-02-03T12:09:45Zcom_10630_2254col_10630_37959
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Draper-Fontanals, Cristina
2020-03-05T12:23:36Z
2020-03-05T12:23:36Z
2020-03-05
https://hdl.handle.net/10630/19367
It is well known that octonions (both real and complex) are very involved in the structure of the exceptional Lie algebras.
We will explore several aspects of this relationship: how octonions provide models of the exceptional Lie algebras, coordinatizating them by means of structurable algebras. This plays an important role in the description of their inner ideals, and, in turn, these appear naturally in certain point-line geometries. In general, these constructions are related to gradings over the integers. We will use also the octonions and related structures to approach gradings on exceptional Lie algebras but over finite groups. Contrary to the situation above, these gradings are related to semisimple elements, and the nice symmetry behind the constructions is reflected in the corresponding Lie groups and in Particle Physics.
eng
Lie, Algebras de
Octonions and exceptional Lie algebras
conference output
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URL
https://riuma.uma.es/bitstreams/69085eb1-397a-4983-b926-74c4149bf905/download
File
MD5
c3e3195291ef6c8167d51474f21d029e
26803
application/pdf
AbstractGuarda20.pdf