The Enright functor on the Bernstein-Gelfand-Gelfand category O

DOI10.1007/BF01398930zbMath0502.17006OpenAlexW1613530738MaRDI QIDQ1172690

Anthony Joseph

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142920

zbMATH Keywords

applicationsBernstein-Gelfand-Gelfand category OEnright functorprimitive ideals for semisimple Lie algebratheory of highest weight modules

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

On crystal bases and Enright's completions, On the Enright functor in the highest weight category, On the Demazure character formula, On functors associated to a simple root, Snowflake modules and Enright functor for Kac-Moody superalgebras, Completions of certain modules over quantum groups¹, Enright functors for Kac-Moody superalgebras, The Primitive Spectrum and Category  for the Periplectic Lie Superalgebra, The category \(\mathcal O\) for a general Coxeter system, Projective-injective modules, Serre functors and symmetric algebras, Completion and translation in o, Quasi-invariants of complex reflection groups, On the concept of completions and explicit determination of an invariant pairing for general kac-moody lie algebras, On the existence of homomorphisms between principal series representations of complex semisimple Lie groups, On Arkhipov's and Enright's functors., Enright’s completions and injectively copresented modules, The primitive spectrum of a basic classical Lie superalgebra, Structure ofTModules and Restricted Duals: The Classical and the Quantum Case, Quadratic duals, Koszul dual functors, and applications, On the variety of a highest weight module, Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals

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