On the tensor product of a finite and an infinite dimensional representation
type: Item
instance of: scholarly article
title: On the tensor product of a finite and an infinite dimensional representation
zbMATH Open document ID: 0355.17010
DOI: 10.1016/0022-1236(75)90035-X
author: Bertram Kostant
published in: Journal of Functional Analysis
publication date: 1975-01-01T00:00:00Z
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
Mathematics Subject Classification ID: 22E45
zbMATH DE Number: 3552726
zbMATH Keywords: tensor product
zbMATH Keywords: irreducible finite dimensional representation
zbMATH Keywords: irreducible components
zbMATH Keywords: semisimple Lie algebra
zbMATH Keywords: Harish-Chandra module
zbMATH Keywords: group representation
zbMATH Keywords: finite composition series
zbMATH Keywords: infinitesimal character
MaRDI profile type: Publication
cites work: Structure of representations generated by vectors of highest weight
cites work: Introduction to Lie Algebras and Representation Theory
cites work: A Formula For the Multiplicity of a Weight
cites work: Lie Group Representations on Polynomial Rings
cites work: Lie algebra cohomology and the generalized Borel-Weil theorem
cites work: Representation of complex semi-simple Lie groups and Lie algebras
full work available at URL: 0022-1236(75)90035-x
OpenAlex ID: W2030771335
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description: scientific article; zbMATH DE number 3552726