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Fibre Products of Homogeneous Spaces

✍ Scribed by Niels Lauritzen; Vikram Mehta

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
196 KB
Volume
189
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let G be a semisimple and simply connected algebraic group over an algebraically closed field k of characteristic p ) 0. Once a Borel subgroup B : G is fixed, a proper homogeneous G-space X can be identified with GrH, where H = B denotes the stabilizer group scheme of a B-fixed point in X. Let H, K, L be subgroup schemes containing B such that H, K : L. In this paper we give necessary and sufficient conditions for the fibre product

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