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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A fixed point criterion for linear reductivity
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by Peter Norman PDF
Proc. Amer. Math. Soc. 50 (1975), 95-96 Request permission

Abstract:

Let $G$ be a linear algebraic group over an algebraically closed field. If for all actions of $G$ on smooth schemes, the fixed point scheme is smooth, then $G$ is linearly reductive under either of the additional assumptions: (a) the ground field is characteristic zero, or (b) $G$ is connected, reduced, and solvable.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 50 (1975), 95-96
  • MSC: Primary 14L15; Secondary 20G15
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0369377-5
  • MathSciNet review: 0369377