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›› 2012, Vol. 29 ›› Issue (1): 1-11.DOI: 10.7523/j.issn.2095-6134.2012.1.001

• Research Articles •     Next Articles

SU(2)-orbits in a six-sphere

ZHOU Xian-Chao, JIAO Xiao-Xiang   

  1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China
  • Received:2010-11-16 Revised:2010-12-07 Online:2012-01-15
  • Supported by:

    Supported by the NSFC (11071248), and the Knowledge Innovation Program of the Chinese Academy of Sciences(KJCX3-SYW-S03)

Abstract:

We obtained a real irreducible representation of SU(2) into G2 from the standard irreducible unitary representation of SU(2) and studied different SU(2)-orbit types in a six-sphere, especially the CR-orbits.

Key words: nearly Kaehler structure, irreducible representation, SU(2)-orbits

CLC Number: