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The Recognition Theorem for Graded Lie Algebras in Prime Characteristic
Georgia Benkart, University of Wisconsin-Madison, WI, Thomas Gregory, Ohio State University, Mansfield, OH, and Alexander Premet, University of Manchester, England
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Memoirs of the American Mathematical Society
2009; 145 pp; softcover
Volume: 197
ISBN-10: 0-8218-4226-9
ISBN-13: 978-0-8218-4226-3
List Price: US$72
Individual Members: US$43.20
Institutional Members: US$57.60
Order Code: MEMO/197/920
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The "Recognition Theorem" for graded Lie algebras is an essential ingredient in the classification of finite-dimensional simple Lie algebras over an algebraically closed field of characteristic \(p>3\). The main goal of this monograph is to present the first complete proof of this fundamental result.

Table of Contents

  • Graded Lie algebras
  • Simple Lie algebras and algebraic groups
  • The contragredient case
  • The noncontragredient case
  • Bibliography
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