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fine gradings

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Maximal finite abelian subgroups of E8
Part of
- Linear algebraic groups and related topics
- Lie algebras and Lie superalgebras
Cristina Draper, Alberto Elduque
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 147 / Issue 5 / October 2017

Published online by Cambridge University Press:

29 June 2017, pp. 993-1008

Print publication:

October 2017
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The maximal finite abelian subgroups, up to conjugation, of the simple algebraic group of type E8 over an algebraically closed field of characteristic 0 are computed. This is equivalent to the determination of the fine gradings on the simple Lie algebra of type E8 with trivial neutral homogeneous component. The Brauer invariant of the irreducible modules for graded semisimple Lie algebras plays a key role.