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searching for Reductive Lie algebra 4 found (19 total)

Translation functor (318 words) [view diff] exact match in snippet view article find links to article

of the center Z of the universal enveloping algebra of a complex reductive Lie algebra can be identified with the points of L⊗C/W, where L is the weight

Harish-Chandra class (200 words) [view diff] exact match in snippet view article find links to article

Harish-Chandra's class if it satisfies the following conditions: g is a reductive Lie algebra (the product of a semisimple and abelian Lie algebra). The Lie group

Cartan's criterion (794 words) [view diff] exact match in snippet view article find links to article

that b is not nilpotent and Tr(b2)=0. In characteristic 0, every reductive Lie algebra (one that is a sum of abelian and simple Lie algebras) has a non-degenerate

Nolan Wallach (1,055 words) [view diff] exact match in snippet view article find links to article

vol. 185, 1984, pp. 1–21 Invariant differential operators on a reductive Lie algebra and Weyl group representations, J. Amer. Math. Soc., vol. 6, no