Rational constructions of modules for simple Lie algebras

Bibliographic Information

Rational constructions of modules for simple Lie algebras

George B. Seligman

(Contemporary mathematics, v. 5)

American Mathematical Society, c1981

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Note

Bibliography: p. 184-185

Description and Table of Contents

Description

Suitable for researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.

Table of Contents

Generalities of finite-dimensional modules Behavior upon splitting. Cartan multiplication Mappings satisfying symmetric identities Structure of symmetric powers Construction of representations: Type A and type C (first kind) Construction of representations: Type C (second kind) Modules for Lie algebras of quadratic forms Exceptional types I: $F_4$ with associative coefficients Exceptional types II: Lie algebras coordinatized by octonions Exceptional Types III: Relative type $A_1$ Exceptional Types IV: Relative type $G_2$ Appendices: Splitting information References.

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Details

  • NCID
    BA04002158
  • ISBN
    • 0821850083
  • LCCN
    81012781
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    xiii, 185 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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