On the Frobenius morphism of flag schemes (Q1322105)

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scientific article; zbMATH DE number 562515
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On the Frobenius morphism of flag schemes
scientific article; zbMATH DE number 562515

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    On the Frobenius morphism of flag schemes (English)
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    20 June 1994
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    We give a new proof to V. B. Mehta and A. Ramanathan's theorem that the Schubert subschemes in a flag scheme are all simultaneously compatible split, using the representation theory of infinitesimal algebraic groups. In particular, the present proof dispenses with the Bott-Samelson schemes.
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    Schubert subschemes
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    flag scheme
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    representation theory of infinitesimal algebraic groups
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