Monoidal supercategories
| Autor: | Brundan, Jonathan, Ellis, Alexander P. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Comm. Math. Phys. 351 (2017), 1045-1089 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00220-017-2850-9 |
| Popis: | 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. Comment: 42 pages, sign error in Definition 1.16 fixed |
| Databáze: | arXiv |
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