Rational constructions of modules for simple Lie algebras /
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| Author / Creator: | Seligman, George B., 1927- |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c1981. |
| Description: | xiii, 185 p. ; 25 cm. |
| Language: | English |
| Series: | Contemporary mathematics ; v. 5 Contemporary mathematics (American Mathematical Society) v. 5. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/526615 |
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
