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  • © 1973

Infinitesimally Central Extensions of Chevalley Groups

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 356)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-VII
  2. Conventions

    • W. L. J. van der Kallen
    Pages 1-1
  3. Universal central extensions. Central trick

    • W. L. J. van der Kallen
    Pages 2-5
  4. The action Âd. Structure of g*Z, g*R

    • W. L. J. van der Kallen
    Pages 22-38
  5. The G-module ker π

    • W. L. J. van der Kallen
    Pages 46-51
  6. G-invariant [p]-structures

    • W. L. J. van der Kallen
    Pages 51-54
  7. The extension φ : G* → G

    • W. L. J. van der Kallen
    Pages 54-59
  8. Extensions of G by a G-module

    • W. L. J. van der Kallen
    Pages 59-61
  9. The hochschild groups

    • W. L. J. van der Kallen
    Pages 61-65
  10. The existence of φ : G* → G

    • W. L. J. van der Kallen
    Pages 65-97
  11. Relations in the open cell

    • W. L. J. van der Kallen
    Pages 97-118
  12. Representatives in G* of the Weyl group

    • W. L. J. van der Kallen
    Pages 119-124
  13. The theorem of generators and relations and its consequences

    • W. L. J. van der Kallen
    Pages 124-138
  14. The group functor G*

    • W. L. J. van der Kallen
    Pages 138-140
  15. Back Matter

    Pages 141-147

Keywords

  • Chevalley Groups
  • Chevalleysche Gruppe
  • Erweiterungstheorie
  • Extensions
  • Finite
  • Invariant
  • Lattice
  • theorem

Bibliographic Information

  • Book Title: Infinitesimally Central Extensions of Chevalley Groups

  • Authors: W. L. J. Kallen

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0060175

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • Softcover ISBN: 978-3-540-06559-3Published: 21 December 1973

  • eBook ISBN: 978-3-540-37857-0Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 154

  • Topics: Mathematics

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