Classification of Klein Four Symmetric Pairs of Holomorphic Type for ${\mathrm{E}}_{6(-14)}$

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 $(G,G^{\prime })$ of real reductive Lie group $G$ and its reductive subgroup $G^{\prime }$ such that there exist irreducible unitary representations $\pi$ of $G$, which are admissible upon restriction to $G^{\prime }$.

11 pages, 1 figure

References in corpus (1)

• A program for branching problems in the representation theory of real reductive groups

Cited by in corpus (3)

• A criterion for discrete branching laws for Klein four symmetric pairs and its application to $E_{6(-14)}$
• Classification of Klein Four Symmetric Pairs of Holomorphic Type for ${\mathrm{E}}_{7(-25)}$
• Discretely decomposable restrictions of $(\mathfrak{g},K)$-modules for Klein four symmetric pairs of exceptional Lie groups of Hermitian type