Graded Lie algebra (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Graded Lie algebra" in English language version.
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- Thus supergraded Lie superalgebras carry a pair of -gradations: one of which is supersymmetric, and the other is classical. Pierre Deligne calls the supersymmetric one the super gradation, and the classical one the cohomological gradation. These two gradations must be compatible, and there is often disagreement as to how they should be regarded. See Deligne's discussion of this difficulty.
