000 01244nmm a2200181Ia 4500
008 230306s9999||||xx |||||||||||||||||und||
020 _a9780821875919 (online)
100 _aSeligman, George B.
245 0 _aRational constructions of modules for simple Lie algebras
260 _aProvidence, R.I. :
_bAmerican Mathematical Society,
_cc1981
300 _a1 online resource (xiii, 185 p.)
490 _aContemporary mathematics
_vv. 5
_x10983627
504 _aBibliography: p. 184185.
505 _tI. Generalities on FiniteDimensional Modules ; II. Behavior upon Splitting. Cartan Multiplication ; III. Mappings Satisfying Symmetric Identities ; IV. Structure of Symmetric Powers ; V. Construction of Representations: Type A and Type C (First Kind) ; VI. Construction of Representations: Type C (Second Kind) ; VII. Modules for Lie Algebras of Quadratic Forms ; VIII. Exceptional Types I:
_F_4
_ with Associative Coefficients ; IX. Exceptional Types II: Lie Algebras Coordinatized by Octonions ; X. Exceptional Types III: Relative Type
_A_1
_ ; XI. Exceptional Types IV: Relative Type
_G_2
_ ; Appendices: Splitting Information ; References
650 _aLie algebras
650 _aModules (Algebra)
856 _uhttp://www.ams.org/conm/005/
999 _c28417
_d28417