A note on characters of algebraic groups
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- by S. A. Broughton PDF
- Proc. Amer. Math. Soc. 89 (1983), 39-40 Request permission
Abstract:
It is proven that a nowhere-vanishing polynomial function on a connected algebraic group, over an algebraically closed field, is a multiple of a (one-dimensional) character.References
- James E. Humphreys, Linear algebraic groups, Graduate Texts in Mathematics, No. 21, Springer-Verlag, New York-Heidelberg, 1975. MR 0396773
- Maxwell Rosenlicht, Toroidal algebraic groups, Proc. Amer. Math. Soc. 12 (1961), 984–988. MR 133328, DOI 10.1090/S0002-9939-1961-0133328-9
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 39-40
- MSC: Primary 20G05
- DOI: https://doi.org/10.1090/S0002-9939-1983-0706506-X
- MathSciNet review: 706506