Fine gradings on simple classical Lie algebras

Mathematics – Rings and Algebras

Scientific paper

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40 pages. A few arguments have been expanded and some misprints corrected

Scientific paper

The fine abelian group gradings on the simple classical Lie algebras
(including D4) over algebraically closed fields of characteristic 0 are
determined up to equivalence. This is achieved by assigning certain invariant
to such gradings that involve central graded division algebras and suitable
sesquilinear forms on free modules over them.

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