Non-decreasable K-types are unitarily small
Representation Theory
2025-05-13 v1
Abstract
Let be a connected simple non-compact real reductive Lie group with a maximal compact subgroup . This note aims to show that any non-decreasable -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.
Cite
@article{arxiv.2505.06969,
title = {Non-decreasable K-types are unitarily small},
author = {Chao-Ping Dong and Chengyu Du and Haojun Xu},
journal= {arXiv preprint arXiv:2505.06969},
year = {2025}
}
Comments
13 pages, 5 figures