Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras

DOI10.1007/978-3-319-09804-3_14zbMath1354.17004arXiv1311.5217OpenAlexW186312192MaRDI QIDQ5265292

Vera V. Serganova, 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/1311.5217

zbMATH Keywords

linear systemtensor representationsocle filtrationfinitary Lie algebraMackey Lie algebra

Mathematics Subject Classification ID

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

Related Items

Ideals of general linear Lie algebras of infinite-dimensional vector spaces, Annihilators of highest weight \(\mathfrak{sl}(\infty)\)-modules, Lie algebra of column-finite infinite matrices: ideals and derivations, Bounded weight modules for basic classical Lie superalgebras at infinity, A Koszul category of representations of finitary Lie algebras, Simple bounded weight modules of \(\mathfrak{sl}(\infty)\), \(\mathfrak{o}(\infty)\), \(\mathfrak{sp}(\infty) \), Universal tensor categories generated by dual pairs, Ordered tensor categories and representations of the Mackey Lie algebra of infinite matrices, Large annihilator category \(\mathcal{O}\) for \(\mathfrak{sl}(\infty), \mathfrak{o}(\infty), \mathfrak{sp}(\infty)\), Three Results on Representations of Mackey Lie Algebras

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