On the canonical \(k\)-types in the irreducible unitary \(\mathfrak g\)-modules with non-zero relative cohomology
type: Item
instance of: scholarly article
title: On the canonical \(k\)-types in the irreducible unitary \(\mathfrak g\)-modules with non-zero relative cohomology
zbMATH Open document ID: 0442.22010
DOI: 10.1007/BF01390311
author: S. Kumaresan
published in: Inventiones Mathematicae
publication date: 1980-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/142726
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 20J99
zbMATH DE Number: 3689689
zbMATH Keywords: irreducible unitary g-modules
zbMATH Keywords: relative cohomology
zbMATH Keywords: Cartan decomposition
zbMATH Keywords: irreducible, unitary representation
zbMATH Keywords: highest weight
zbMATH Keywords: vanishing theorems
zbMATH Keywords: noncompact real form of \(G_2\)
MaRDI profile type: Publication
cites work: Q3885948
cites work: Dirac operator and the discrete series
cites work: Criteria for the unitarizability of some highest weight modules
cites work: Representation of complex semi-simple Lie groups and Lie algebras
description: scientific article; zbMATH DE number 3689689