Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup | Synapse
March 29, 2026Open Access
Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup
Key Points
The aim is to identify irreducible Harish Chandra modules associated with rank one semisimple Lie groups with admissible restrictions.
Analysis of Harish Chandra modules in the context of rank one semisimple Lie groups.
Examination of the conditions and structures related to admissible restrictions.
Evaluation of results from the perspective of representation theory.
Identification of specific irreducible Harish Chandra modules related to rank one groups.
Demonstration of how these modules restrict to proper reductive subgroups effectively.
Clarification of the implications for representation theory in semisimple groups.
Abstract
This note determines the irreducible Harish Chandra modules of a rank one semisimple Lie group with admissible restriction to some proper reductive subgroup.