Classification of all parabolic subgroup-schemes of a reductive linear algebraic group over an algebraically closed field
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- by Christian Wenzel PDF
- Trans. Amer. Math. Soc. 337 (1993), 211-218 Request permission
Abstract:
Let $G$ be a reductive linear algebraic group over an algebraically closed field $K$. The classification of all parabolic subgroups of $G$ has been known for many years. In that context subgroups of $G$ have been understood as varieties, i.e. as reduced schemes. Also several nontrivial nonreduced subgroup schemes of $G$ are known, but until now nobody knew how many there are and what there structure is. Here I give a classification of all parabolic subgroup schemes of $G$ in $\operatorname {char}(K) > 3$ .References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 337 (1993), 211-218
- MSC: Primary 20G15; Secondary 11E57, 14L15, 14L17
- DOI: https://doi.org/10.1090/S0002-9947-1993-1096262-1
- MathSciNet review: 1096262