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Abstract Homomorphisms of Algebraic Groups
Author(s) -
Seitz Gary M.
Publication year - 1997
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610797005176
Subject(s) - homomorphism , algebraically closed field , mathematics , algebraic number , group (periodic table) , field (mathematics) , rationality , pure mathematics , algebraic group , algebra over a field , mathematical analysis , physics , epistemology , quantum mechanics , philosophy
In this paper we are concerned with abstract homomorphisms from one algebraic group to another. That is, group homomorphisms where there is no assumption of rationality. Let K be an infinite perfect field and L an algebraically closed field of the same characteristic. Throughout G ( K ) will denote a Chevalley group of universal type over K .