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arXiv · 1808.10575

A new approach to the $SL_n$ spider

Stephen Bigelow
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Abstract

The $SL_n$ spider gives a diagrammatic way to encode the representation category of the quantum group $U_q(sl_n)$. The aim of this paper is to define a new spider that contains the $SL_n$ 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 $SL_n$.

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Stephen Bigelow. 2018-08-31. A new approach to the $SL_n$ spider. https://arxiv.org/abs/1808.10575

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