Abstract
LetG 0 be a split simple Chevalley group of any type over the fieldK andG its universal group; and letĜ 0 be the group of automorphisms of the corresponding Chevalley algebra,L K, generated byG 0 and all the diagonal automorphisms. A groupĜ (and appropriate homorphisms) is constructed which generalizes the groupGL n (K) whenG 0 is specialized to typeA n−1.
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References
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Berman, S., v. Moody, R. Extensions of Chevalley groups. Israel J. Math. 22, 42–51 (1975). https://doi.org/10.1007/BF02757272
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DOI: https://doi.org/10.1007/BF02757272