Quasisymmetric and unipotent tensor categories. (English) Zbl 1168.18003
The paper gives classifications of quasisymmetric tensor categories (a subclass of braided categories) and of unipotent tensor categories (where every simple object is the neutral object). The main method is the one of V. G. Drinfel’d in the theory of quantum groups [Leningr. Math. J. 1, No. 6, 1419–1457 (1990; Zbl 0718.16033)].
Reviewer: Georges Hoff (Villetaneuse)
MSC:
| 18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 17B60 | Lie (super)algebras associated with other structures (associative, Jordan, etc.) |
