We construct a faithful categorical representation of an infinite Temperley-Lieb algebra on the periplectic analogue of Deligne's category. We use the corresponding combinatorics to classify thick tensor ideals in this periplectic Deligne category. This allows to determine the kernel of the tensor functor going to the module category of the periplectic Lie supergroup, which in turn yields a description of the tensor powers of the natural representation. 查看全文>>