Abstract
We showed back in (3.4) that an algcbraic G can be embedded in the general linear group of some vector space; we now must refine that so that we can pick out a spccificd subgroup as the stabilizer of a subspace. Recall from (12.4) that if W is any subspace of some V where G acts linearly, the stabilizer H w (R)= {g∈ G(R)\g(W⊗R)⊆ W⊗ R} does form a closed subgroup.
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© 1979 Springer-Verlag New York Inc.
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Waterhouse, W.C. (1979). Construction of Quotients. In: Introduction to Affine Group Schemes. Graduate Texts in Mathematics, vol 66. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6217-6_16
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DOI: https://doi.org/10.1007/978-1-4612-6217-6_16
Publisher Name: Springer, New York, NY
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