What question did this study set out to answer?

To explore the existence of irreducible representations with bounded multiplicity in simply connected non-compact semisimple Lie groups and identify which representations meet this criterion.

March 29, 2026Open Access

Bounded Multiplicity Branching for Symmetric Pairs

Puntos clave

To explore the existence of irreducible representations with bounded multiplicity in simply connected non-compact semisimple Lie groups and identify which representations meet this criterion.
Proving properties of simply connected non-compact semisimple Lie groups
Analyzing the restriction of representations for symmetric pairs
Identifying conditions for bounded multiplicity
Any simply connected non-compact semisimple Lie group has an infinite-dimensional irreducible representation with bounded multiplicity
The results clarify which irreducible representations satisfy the bounded multiplicity property

Resumen

We prove that any simply connected non-compact semisimple Lie group G admits an infinite-dimensional irreducible representation with bounded multiplicity property of the restriction | G for all symmetric pairs (G, G ).We also discuss which irreducible representations satisfy the bounded multiplicity property.

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Cite This Study

T. Kobayashi (Sun,) studied this question.

synapsesocial.com/papers/69c8c15ade0f0f753b39bc25 https://doi.org/https://doi.org/10.5802/jolt.1285

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