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

Abstract

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.

20 pages, no figures

References in corpus (2)

• Group Gradings on Simple Lie Algebras of Type "A"
• Fine gradings on simple classical Lie algebras

Cited by in corpus (17)

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