Algebraic Methods in the Theory of Generalized Harish-Chandra Modules

DOI10.1007/978-3-319-09804-3_15zbMath1354.17005arXiv1310.8058OpenAlexW53936144MaRDI QIDQ5265293

Gregg J. Zuckerman, I. B. Penkov

Publication date: 23 July 2015

Published in: Developments and Retrospectives in Lie Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.8058

zbMATH Keywords

generalized Harish-Chandra moduleFernando-Kac subalgebra\((\mathfrak{g}, \mathfrak k)\)-module of finite typeeligible subalgebraminimal \(\mathfrak{k}\)-type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Homological methods in Lie (super)algebras (17B55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

On the existence of infinite-dimensional generalized Harish-Chandra modules ⋮ Family of 𝒟-modules and representations with a boundedness property ⋮ On categories of admissible \(( \mathfrak{g}, \mathrm{sl}(2))\)-modules

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