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Uniqueness of twisted linear periods over Archimedean division algebras

Yufeng Li, Junyan Xiao

math.RTarXiv:2610.19875

Abstract

Let be , , or , and let H=p()×q() be the block diagonal subgroup of G=p+q(). We prove that H(π,η)≤1 for every irreducible Casselman--Wallach representation π of G and every smooth character η of H.

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