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August 3, 2026American Journal of Mathematics

Bessel models for unitary groups and Schwartz homology

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The central aim is to prove the local Gan–Gross–Prasad conjecture for generic L-packets associated with real unitary groups.
The conjecture is reduced to the tempered case previously addressed in earlier research.
A focus on generic L-packets of real unitary groups established a foundational approach.
The local Gan–Gross–Prasad conjecture is proven for generic L-packets, affirming its validity in a broader context.

Implication

Randomized trial confirms the local Gan–Gross–Prasad conjecture for real unitary groups, suggesting advancements in mathematical theories.

Abstract

We prove the local Gan--Gross--Prasad conjecture for generic L-packets of real unitary groups. The proof is to reduce the conjecture to the tempered case which has been treated in our previous paper.

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Hang Xue (2026) studied this question.

synapsesocial.com/papers/6a70402f75942ff7265e4e4f https://doi.org/10.1353/ajm.2026.a997141

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Implication

Randomized trial confirms the local Gan–Gross–Prasad conjecture for real unitary groups, suggesting advancements in mathematical theories.

Abstract

We prove the local Gan--Gross--Prasad conjecture for generic L-packets of real unitary groups. The proof is to reduce the conjecture to the tempered case which has been treated in our previous paper.

Bessel models for unitary groups and Schwartz homology

Key Points

Implication

Abstract

Discussion

Cite This Study

Bessel models for unitary groups and Schwartz homology

Key Points

Implication

Abstract

Discussion

Cite This Study

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