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Classification of Klein Four Symmetric Pairs of Holomorphic Type for $\mathrm{E}_{6(-14)}$ (1707.04436v1)
Published 14 Jul 2017 in math.RT, math.GR, and math.RA
Abstract: The author classifies Klein four symmetric pairs of holomorphic type for non-compact Lie group $\mathrm{E}_{6(-14)}$, which gives a class of pairs $(G,G')$ of real reductive Lie group $G$ and its reductive subgroup $G'$ such that there exist irreducible unitary representations $\pi$ of $G$, which are admissible upon restriction to $G'$.