Explicit Construction of the Exceptional Superalgebras F(4) and GG(3)

Oct, 1981
46 pages
Published in:
  • J.Math.Phys. 23 (1982) 1953
Report number:
  • ITP-SB-81-16

Citations per year

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Abstract: (AIP)
A general method for constructing the extension of an ordinary Lie algebraA0 to a superalgebra A0⊕A1 is given, once one knows in which representation of A0 the odd generators A1 are. Explicit matrix representations for the superalgebras F(4) and G(3), and for ordinary algebrasE 8, F 4, and G 2 are presented.
  • ALGEBRA: LIE
  • SUPERSYMMETRY
  • GAUGE FIELD THEORY: group: exceptional
  • GROUP THEORY: REPRESENTATION