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A note on the categorification of Lie algebras. (English) Zbl 1280.17027

Dobrev, Vladimir (ed.), Lie theory and its applications in physics. IX international workshop. Based on the 9th workshop on Lie theory and its applications in physics, Varna, Bulgaria, June 20–26, 2011. Tokyo: Springer (ISBN 978-4-431-54269-8/hbk; 978-4-431-54270-4/ebook). Springer Proceedings in Mathematics & Statistics 36, 541-550 (2013).
Summary: In this short note we study Lie algebras in the framework of symmetric monoidal categories. After a brief review of the existing work in this field and a presentation of earlier studied and new examples, we examine which functors preserve the structure of a Lie algebra.
For the entire collection see [Zbl 1266.00027].

MSC:

17B99 Lie algebras and Lie superalgebras
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
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