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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
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Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Brian Conrad
Stanford University
MR ID: 637175
Reference #
OMN:201701.110662

Attributes

Posted date
2017-01-09 06:19:54
Revised date
2020-03-06 20:00:26
Level
   Graduate
Notes type
   Topics Course
Topic
   Geometry
      Algebraic Geometry
   Number Theory
      Algebraic Number Theory
   Representation Theory

Algebraic Groups I

This is a course on the general structure of linear algebraic groups over arbitrary fields, covering the standard material prior to the refined theory in the reductive case, using scheme-theoretic methods (flatness, infinitesimal criteria, etc.) at the level of a year-long course on schemes.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v3 PDF (1.1M) 03/09/20
Supplementary v3 PDF (280K) 03/06/20