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arXiv · 1603.05928

Monoidal supercategories

Jonathan Brundan·Alexander P. Ellis
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Abstract

In the literature, one finds several competing notions for the super (i.e., Z/2-graded) analog of a monoidal category. The goal of this paper is to clarify these definitions and the connections between them. We also discuss in detail the example of the odd Temperley-Lieb supercategory. In a forthcoming article, we will exploit the formalism developed here in order to define super analogs of the Kac-Moody 2-categories of Khovanov-Lauda and Rouquier.

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BibTeXRIS

Jonathan Brundan, Alexander P. Ellis. 2017-01-25. Monoidal supercategories. https://doi.org/10.1007/s00220-017-2850-9

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