On bounded generalized Harish-Chandra modules

DOI10.5802/aif.2685zbMath1281.17010arXiv0710.0906OpenAlexW2963310286MaRDI QIDQ441303

Vera V. Serganova, I. B. Penkov

Publication date: 22 August 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0906

zbMATH Keywords

bounded \((\mathfrak g,\mathfrak k)\)-modulegeneralized Harish-Chandra module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (5)

Annihilators of simple integrable weight $\mathfrak{sl}(\infty)$-modules ⋮ Bounded weight modules for basic classical Lie superalgebras at infinity ⋮ Categories of bounded \((\mathfrak{sp}(\mathrm{S}^2V\oplus\mathrm{S}^2V^\ast)\), \(\mathfrak{gl}(V))\)- and \((\mathfrak{sp}(\Lambda ^2 V\oplus\Lambda ^2V^\ast)\), \(\mathfrak{gl}(V))\)-modules ⋮ Unnamed Item ⋮ On categories of admissible \(( \mathfrak{g}, \mathrm{sl}(2))\)-modules

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