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

DUNDARER A., GURSEY F.

JOURNAL OF MATHEMATICAL PHYSICS, vol.32, no.5, pp.1176-1181, 1991 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 5
  • Publication Date: 1991
  • Doi Number: 10.1063/1.529314
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1176-1181
  • Middle East Technical University Affiliated: No

Abstract

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.