Classification of Klein four-symmetric pairs reveals branching laws and verifies conjectures in exceptional Lie theory.
Let [Formula: see text] be a Klein four-subgroup in the automorphism group of the exceptional Lie group [Formula: see text], which does not contain any Cartan involution. We classify all the Klein four-symmetric pairs [Formula: see text], for which we also study the branching laws and verify a conjecture.
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Haian He (2026) studied this question.
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