2020/06/17 by Gao, Mengmeng, Rui, Hebing, Song, Linliang · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2006.09626
The affine Kauffmann category is a strict monoidal category and can be considered as a q-analogue of the affine Brauer category in (Rui et al. in Math. Zeit. 293, 503-550, 2019). In this paper, we prove a basis theorem for the morphism spaces in the affine Kauffmann category. The cyclotomic Kauffmann category is a quotient category of the affine Kauffmann category. We also prove that any morphism space in this category is free over an integral domain \mathbb K with maximal rank if and only if the \mathbf u-admissible condition holds in the sense of Definition 1.13.