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Nilpotent cone : ウィキペディア英語版 | Nilpotent cone In mathematics, the nilpotent cone of a finite-dimensional semisimple Lie algebra is the set of elements that act nilpotently in all representations of In other words, : The nilpotent cone is an irreducible subvariety of (considered as a -vector space). ==Example== The nilpotent cone of , the Lie algebra of 2×2 matrices with vanishing trace, is the variety of all 2×2 traceless matrices with rank less than or equal to
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