Exceptional Lie Algebras

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  • Exceptional Lie Algebras Book Detail

  • Author : N. Jacobson
  • Release Date : 1971-06-01
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 140
  • ISBN 13 : 9780824713263
  • File Size : 75,75 MB

Exceptional Lie Algebras by N. Jacobson PDF Summary

Book Description: This volume presents a set of models for the exceptional Lie algebras over algebraically closed fieldsof characteristic O and over the field of real numbers. The models given are based on the algebras ofCayley numbers (octonions) and on exceptional Jordan algebras. They are also valid forcharacteristics p * 2. The book also provides an introduction to the problem of forms of exceptionalsimple Lie algebras, especially the exceptional D4 's, � 6 's, and � 7 's. These are studied by means ofconcrete realizations of the automorphism groups.Exceptional Lie Algebras is a useful tool for the mathematical public in general-especially thoseinterested in the classification of Lie algebras or groups-and for theoretical physicists.

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