Classification of Klein four symmetric pairs of holomorphic type for $$\mathrm {E}_{6(-14)}$$ E 6 ( - 14 )

Abstract

Abstract. The author classifies Klein four symmetric pairs of holomorphic type for noncompact Lie group 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 π of G, which are admissible upon restriction to G ′ .