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Invariant Ideals and Matsushima's Criterion
[article]
2005
arXiv
pre-print
Preserved Fulltext
Let G be a reductive algebraic group and H a closed subgroup of G. Explicit constructions of G-invariant ideals in the algebra K[G/H] are given. This allows to obtain an elementary proof of Matsushima's criterion: a homogeneous space G/H is an affine variety if and only if H is reductive.
arXiv:math/0506430v1
fatcat:zzcqaxpeqja7db72qxmuchtj4e