F. Viviani∗ SIMPLE FINITE GROUP SCHEMES AND THEIR INFINITESIMAL DEFORMATIONS
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چکیده
We show that the classification of simple finite group schemes over an algebraically closed field reduces to the classification of abstract simple finite groups and of simple restricted Lie algebras in positive characteristic. Both these simple objects have been classified. We review this classification. Finally, we address the problem of determining the infinitesimal deformations of simple finite group schemes.
منابع مشابه
Deformations of Simple Finite Group Schemes
Simple finite group schemes over an algebraically closed field of positive characteristic p 6= 2, 3 have been classified. We consider the problem of determining their infinitesimal deformations. In particular, we compute the infinitesimal deformations of the simple finite group schemes of height one corresponding to the restricted simple Lie algebras.
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تاریخ انتشار 2010