Dirac inequality for highest weight Harish-Chandra modules I

DOI10.7153/mia-2023-26-17OpenAlexW4322580851MaRDI QIDQ5881778

Vít Tuček, Vladimír Souček, Ana Prlić, Pavle Pandžić

Publication date: 13 March 2023

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.15324

zbMATH Keywords

unitary highest weight modulesDirac inequality

Mathematics Subject Classification ID

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

Related Items (2)

Sharpening the Dirac inequality ⋮ Dirac inequality for highest weight Harish-Chandra modules II

Cites Work

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• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Categories of highest weight modules: applications to classical Hermitian symmetric pairs
• Differential operators and highest weight representations
• Dirac cohomology of cohomologically induced modules for reductive Lie groups

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