Q3889239
type: Item
instance of: scholarly article
zbMATH Open document ID: 0445.17006
author: Joseph Bernstein
author: Sergei Gelfand
publication date: 1980-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/89458
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22E47
Mathematics Subject Classification ID: 17B55
zbMATH DE Number: 3695423
zbMATH Keywords: infinite dimensional representations
zbMATH Keywords: semisimple Lie algebra
zbMATH Keywords: Verma modules
zbMATH Keywords: tensor product
zbMATH Keywords: projective functor
zbMATH Keywords: irreducible Harish-Chandra modules
zbMATH Keywords: principal series modules
zbMATH Keywords: category of finite modules
zbMATH Keywords: category O
MaRDI profile type: Publication
cites work: Tensor products of finite and infinite dimensional representations of semisimple Lie groups
cites work: Structure of representations generated by vectors of highest weight
cites work: Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
cites work: On the Enright-Varadarajan modules : a construction of the discrete series
cites work: Szegoe kernels associated with discrete series
cites work: \(L^2\)-cohomology and the discrete series
cites work: A geometric construction of the discrete series for semisimple Lie groups
cites work: On the tensor product of a finite and an infinite dimensional representation
cites work: Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
cites work: Q5602405
cites work: Q4075116
cites work: Q4170935
cites work: Q5562621
cites work: Q5508993
cites work: Q5639839
cites work: Q4065692
cites work: Q3941610
cites work: The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
cites work: Category of \(\mathfrak g\) modules
cites work: A Formula For the Multiplicity of a Weight
cites work: Finite- and Infinite-Dimensional Representations of Linear Semisimple Groups
cites work: Irreducible characters of semisimple Lie groups. I
cites work: Moduln mit einem höchsten Gewicht
cites work: On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
cites work: Dixmier's Problem for Verma and Principal Series Submodules
description: scientific article