Linear Algebraic Groups
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Beschreibung
This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.
Reprint of a successful expanded edition of a well-received book
Presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces
Requires only some familiarity with algebraic geometry
Autor*in
Armand Borel
Themen in »Linear Algebraic Groups«
Lie algebra algebra algebraic group commutative algebra linear algebra