Note on algebraic Lie algebras
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- by G. Hochschild PDF
- Proc. Amer. Math. Soc. 29 (1971), 10-16 Request permission
Abstract:
It is shown that, over an algebraically closed field of characteristic 0, the isomorphism classes of algebraic Lie algebras are in bijective correspondence with the isomorphism classes of affine algebraic groups with unipotent centers.References
- Claude Chevalley, Théorie des groupes de Lie. Tome III. Théorèmes généraux sur les algèbres de Lie, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1226, Hermann & Cie, Paris, 1955 (French). MR 0068552
- G. Hochschild, Algebraic groups and Hopf algebras, Illinois J. Math. 14 (1970), 52–65. MR 257088
- G. Hochschild and G. D. Mostow, Automorphisms of affine algebraic groups, J. Algebra 13 (1969), 535–543. MR 255655, DOI 10.1016/0021-8693(69)90115-X
- G. D. Mostow, Fully reducible subgroups of algebraic groups, Amer. J. Math. 78 (1956), 200–221. MR 92928, DOI 10.2307/2372490
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 10-16
- MSC: Primary 14.50; Secondary 20.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281720-0
- MathSciNet review: 0281720