On the nonvanishing hypothesis for Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}(ℂ)×𝔾𝕃_{𝕟}(ℂ)

DOI10.1090/ert/502zbMath1431.22016arXiv1612.09107OpenAlexW2963598447MaRDI QIDQ5351621

Chao-Ping Dong, Huajian Xue

Publication date: 29 August 2017

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09107

Mathematics Subject Classification ID

Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Continuous cohomology of Lie groups (22E41)

Related Items (1)

Calculus of archimedean Rankin–Selberg integrals with recurrence relations

Cites Work

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• Positivity of matrix coefficients of representations with real infinitesimal characters
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• Representation of complex semi-simple Lie groups and Lie algebras
• The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• Bounding matrix coefficients for smooth vectors of tempered representations
• Symmetry, Representations, and Invariants
• Homogeneous distributions on finite dimensional vector spaces
• THE CRITICAL VALUES OF RANKIN–SELBERG CONVOLUTIONS
• COHOMOLOGY OF ARITHMETIC GROUPS, PARABOLIC SUBGROUPS AND THE SPECIAL VALUES OF $L$-FUNCTIONS ON GL$_{n}$

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