On the existence of infinite-dimensional generalized Harish-Chandra modules

DOI10.1007/S40863-018-0093-0zbMath1435.17013arXiv1807.02005OpenAlexW2963148795WikidataQ108064653 ScholiaQ108064653MaRDI QIDQ1629686

Gregg J. Zuckerman, I. B. Penkov

Publication date: 12 December 2018

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02005

zbMATH Keywords

generalized Harish-Chandra moduleadmissible \((\mathfrak{g}, \mathfrak{k})\)-module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

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• Lie algebra cohomology and the generalized Borel-Weil theorem
• Generalized Harish-Chandra modules with generic minimal \({\mathfrak k}\)-type
• Construction of Generalized Harish-Chandra Modules with Arbitrary Minimal -Type
• Geometry of the Borel -- de Siebenthal Discrete Series
• SMALL SEMISIMPLE SUBALGEBRAS OF SEMISIMPLE LIE ALGEBRAS
• Algebraic Methods in the Theory of Generalized Harish-Chandra Modules

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