On the existence of homomorphisms between principal series representations of complex semisimple Lie groups

DOI10.1016/j.jalgebra.2010.11.012zbMath1220.22011arXiv0712.2122OpenAlexW1986797069WikidataQ115351217 ScholiaQ115351217MaRDI QIDQ555586

Noriyuki Abe

Publication date: 25 July 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2122

zbMATH Keywords

Lie grouphomomorphismprincipal series representationtwisted Verma module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

Vanishing of extensions of twisted Verma modules

Cites Work

• Moduln mit einem höchsten Gewicht
• The Enright functor on the Bernstein-Gelfand-Gelfand category O
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Structure of representations generated by vectors of highest weight
• Shuffled Verma Modules and Principal Series Modules over Complex Semisimple Lie Algebras
• Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module
• Structure of certain induced representations of complex semisimple Lie algebras
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