OCTONIONIC REPRESENTATIONS OF SO(8) AND ITS SUBGROUPS AND COSETS


DUNDARER A., GURSEY F.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.32, ss.1176-1181, 1991 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 5
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1063/1.529314
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Sayfa Sayıları: ss.1176-1181

Özet

The generators of the subgroups SO(7) L,R and the cosets S(L,R)7 = SO(8)/SO(7) L,R and SIGMA-L,R7 = SO(7) L,R/G2 of SO(8) are constructed out of the generators of SO(8) using octonionic structure tensors, and the representations of these generators are given as products of octonions.