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  • Book
  • © 1999

The Minnesota Notes on Jordan Algebras and Their Applications

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1710)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-IX
  2. Domains of positivity

    • Max Koecher
    Pages 1-33
  3. Omega domains

    • Max Koecher
    Pages 35-51
  4. Jordan algebras

    • Max Koecher
    Pages 53-72
  5. Real and complex Jordan algebras

    • Max Koecher
    Pages 73-92
  6. Complex Jordan algebras

    • Max Koecher
    Pages 93-108
  7. Jordan algebras and omega domains

    • Max Koecher
    Pages 109-126
  8. Half-spaces

    • Max Koecher
    Pages 127-155
  9. Back Matter

    Pages 157-175

About this book

This volume contains a re-edition of Max Koecher's famous Minnesota Notes. The main objects are homogeneous, but not necessarily convex, cones. They are described in terms of Jordan algebras. The central point is a correspondence between semisimple real Jordan algebras and so-called omega-domains. This leads to a construction of half-spaces which give an essential part of all bounded symmetric domains. The theory is presented in a concise manner, with only elementary prerequisites. The editors have added notes on each chapter containing an account of the relevant developments of the theory since these notes were first written.

Keywords

  • Poisson kernel
  • Volume
  • algebra
  • construction
  • development
  • function
  • integral transform
  • kernel
  • object

Bibliographic Information

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
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