Type $C$ Webs
Representation Theory
2021-03-30 v1 Quantum Algebra
Abstract
We define a -linear pivotal category and prove that it is equivalent to the full subcategory of finite-dimensional representations of tensor-generated by the fundamental representations. This answers the type case of the main open problem from Kuperberg's 1996 paper "Spiders for rank 2 Lie algebras" (arXiv:q-alg/9712003).
Cite
@article{arxiv.2103.14997,
title = {Type $C$ Webs},
author = {Elijah Bodish and Ben Elias and David E. V. Rose and Logan Tatham},
journal= {arXiv preprint arXiv:2103.14997},
year = {2021}
}
Comments
45 pages, many diagrams (some in color)