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Representations of simple lie groups II:Addendum et corrigendum

Authors
Publisher
Elsevier Ltd
Publication Date
Volume
39
Issue
1
Identifiers
DOI: 10.1016/s0034-4877(97)81473-5
Disciplines
  • Mathematics

Abstract

Abstract The aim of this article is to correct and expand on our previous paper with the same title ( Rep. Math. Phys. 32 (1993), 351). When the centre of a compact simple Lie group is Z 2 or {Z 2} 2 , there are not necessarily irreducible representations of quaternionic type. From the periodicity of the Clifford algebra we conclude that the groups Spin(8 k + e), e = ± 1,0 have only real representations. For all the other cases in the family there are quaternionic representations.

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