2000 character limit reached
Non-decreasable K-types are unitarily small
Published 11 May 2025 in math.RT | (2505.06969v1)
Abstract: Let $G$ be a connected simple non-compact real reductive Lie group with a maximal compact subgroup $K$. This note aims to show that any non-decreasable $K$-type (in the sense of the first named author) is unitarily small (in the sense of Salamanca-Riba and Vogan). This answers Conjecture 2.1 of \cite{D} in the affirmative.
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