Classification of group gradings on simple Lie algebras of types A, B, C and D

Details Classification of group gradings on simple Lie algebras of types A, B, C and D Classification of group gradings on simple Lie algebras of types A, B, C and D

2009-08-06

arxiv.org/abs/0908.0906v1

Mathematics

Rings and Algebras

20 pages, no figures

Scientific paper

For a given abelian group G, we classify the isomorphism classes of
G-gradings on the simple Lie algebras of types A_n (n >= 1), B_n (n >= 2), C_n
(n >= 3) and D_n (n > 4), in terms of numerical and group-theoretical
invariants. The ground field is assumed to be algebraically closed of
characteristic different from 2.

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