Representation categories of Mackey Lie algebras as universal monoidal categories

DOI10.4310/PAMQ.2017.v13.n1.a3zbMath1398.16024arXiv1710.00976WikidataQ129236277 ScholiaQ129236277MaRDI QIDQ1799523

Alexandru Chirvasitu, I. B. Penkov

Publication date: 19 October 2018

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00976

zbMATH Keywords

Koszul algebramonoidal categoryGrothendieck categorytensor moduleMackey Lie algebrasemi-Artinian

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Quadratic and Koszul algebras (16S37) Coalgebras and comodules; corings (16T15)

Related Items (4)

Lie algebra of column-finite infinite matrices: ideals and derivations ⋮ Integrable sl(∞)‐modules and category O for gl(m|n) ⋮ Universal tensor categories generated by dual pairs ⋮ Infinite-dimensional linear algebra and solvability of partial differential equations

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