English

A new approach to the $SL_n$ spider

Quantum Algebra 2025-10-17 v2 Representation Theory

Abstract

The SLnSL_n spider gives a diagrammatic way to encode the representation category of the quantum group Uq(sln)U_q(sl_n). The aim of this paper is to define a new spider that contains the SLnSL_n spider. The new spider is defined by generators and relations, according to fairly simple rules that start with combinatorial data coming from the root system of SLnSL_n.

Keywords

Cite

@article{arxiv.1808.10575,
  title  = {A new approach to the $SL_n$ spider},
  author = {Stephen Bigelow},
  journal= {arXiv preprint arXiv:1808.10575},
  year   = {2025}
}

Comments

13 pages, 6 figures