Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup

J. A. Vargas

doi:10.5802/jolt.612

January 1, 2010Journal of Lie theoryOpen Access

Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup

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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.

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Implication

This note uncovers irreducible Harish Chandra modules in rank one Lie groups, suggesting pathways for further exploration in representation theory.

Abstract

This note determines the irreducible Harish Chandra modules of a rank one semisimple Lie group with admissible restriction to some proper reductive subgroup.

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J. A. Vargas (2010) studied this question.

synapsesocial.com/papers/69c8c115de0f0f753b39bb9a https://doi.org/10.5802/jolt.612

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Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup

Key Points

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Implication

Abstract

Discussion

Cite This Study

Harish Chandra Modules of Rank One Lie Groups with Admissible Restriction to Some Reductive Subgroup

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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