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  • © 1970

Lie Algebras

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 127)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-IV
  2. Basic definitions

    • Ian Stewart
    Pages 1-8
  3. Representations of nilpotent algebras

    • Ian Stewart
    Pages 9-14
  4. Cartan subalgebras

    • Ian Stewart
    Pages 15-18
  5. The killing form

    • Ian Stewart
    Pages 19-23
  6. The cartan decomposition

    • Ian Stewart
    Pages 24-27
  7. Systems of fundamental roots

    • Ian Stewart
    Pages 28-33
  8. Dynkin diagrams

    • Ian Stewart
    Pages 34-43
  9. Some astronomical observations

    • Ian Stewart
    Pages 44-47
  10. Algebras with a given star

    • Ian Stewart
    Pages 48-57
  11. Subideals, derivations, automorphisms

    • Ian Stewart
    Pages 58-64
  12. The bear radical

    • Ian Stewart
    Pages 65-70
  13. Other radicals

    • Ian Stewart
    Pages 71-73
  14. Baer ≠ fitting

    • Ian Stewart
    Pages 74-79
  15. The minimal condition for subideals

    • Ian Stewart
    Pages 90-95
  16. Back Matter

    Pages 90-97

Keywords

  • Fitting
  • Lie
  • Liescher Ring
  • Morphism
  • algebra
  • automorphism
  • derivation
  • diagrams
  • form
  • lie algebra
  • minimum
  • presentation
  • ring

Bibliographic Information

  • Book Title: Lie Algebras

  • Authors: Ian Stewart

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0061081

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1970

  • Softcover ISBN: 978-3-540-04916-6Published: 01 January 1970

  • eBook ISBN: 978-3-540-36264-7Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IV, 97

  • Topics: Algebra

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions