Linear Algebraic Groups (Graduate Texts in Mathematics, #126)

by Armand Borel

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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.

  • ISBN13 9781461269540
  • Publish Date 30 September 2012 (first published 18 April 1991)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition 2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991
  • Format Paperback
  • Pages 290
  • Language English