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A Star groups SU*(N)

  1. Feb 1, 2017 #1
    I've run across a Lie group notation that I am unfamiliar with and having trouble googling (since google won't seem to search on * characters literally).

    Does anyone know the definition of the "star groups" notated e.g. SU*(N), SO*(N) ??
    The paper I am reading states for example that SO(5,1) is isomorphic to SU*(4).
    (Ref Kugo+Townsend, Nuc. Phys. B221, p. 357, "Supersymmetry and the division algebras")

    In fact it has a "definition" of these groups, however I am not able to understand it. It appears to say that
    SU*(N) consists of elements X of SL(N,C) such that
    X = B-1X* B
    where B is the spinor conjugation operator (and N is the dimension of a spinor rep of the SO(D,1) that the paper is talking about)
  2. jcsd
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