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Derivations of Lie algebras of type F_4

Student: Galkin Vladislav

Supervisor: Natalya Chebochko

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2020

The purpose of the research is to study the main foundation of the theory of Lie algebras and to apply computer algebra methods to obtain theoretical results in this area. The practical result of this work should be finding the space of external derivations of the Lie algebra of type F4 over the field of characteristic two. The Lie algebra of type F4 has large dimension therefore any calculations of its characteristics are quite complex, so it seems reasonable to describe this algebra using a computer algebra system and perform calculations on the computer.

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