Nilpotent cone
From Infogalactic: the planetary knowledge core
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
References
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This article incorporates material from Nilpotent cone on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License.
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