Vanishing of extensions of twisted Verma modules

DOI10.1090/S0002-9939-09-09958-4zbMath1232.22011MaRDI QIDQ3642681

Noriyuki Abe

Publication date: 6 November 2009

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

zbMATH Keywords

twisted Verma modulescategory \(\mathcal {O}\)

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

• On the existence of homomorphisms between principal series representations of complex semisimple Lie groups
• Vanishing theorems for Lie algebra cohomology and the cohomology of discrete subgroups of semisimple Lie groups
• Extensions of Verma Modules
• Shuffled Verma Modules and Principal Series Modules over Complex Semisimple Lie Algebras
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