Positivity of matrix coefficients of representations with real infinitesimal characters

DOI10.1007/S11856-009-0034-9zbMath1185.22010OpenAlexW2077890166MaRDI QIDQ839924

Bin Yong Sun

Publication date: 3 September 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0034-9

zbMATH Keywords

Harish-Chandra moduleadmissible formlowest \(K\)-typereal infinitesimal character

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (3)

Positivity of principal matrix coefficients of principal series representations of $GL_{n}(R)$ ⋮ On the nonvanishing hypothesis for Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}(ℂ)×𝔾𝕃_{𝕟}(ℂ) ⋮ The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions

Cites Work

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• Theta lifting for unitary representations with nonzero cohomology
• The signature with local coefficients of locally symmetric spaces
• Discrete series for semisimple symmetric spaces
• Representations of real reductive Lie groups
• On the classification of unitary representations of reductive Lie groups
• On the discrete spectrum of \((G_2, PGSp_6)\)
• Matrix coefficients of cohomologically induced representations
• Classification of the irreducible representations of semisimple Lie groups
• BRANCHING TO A MAXIMAL COMPACT SUBGROUP
• Complexification of Real Analytic Groups

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