A new approach to the $SL_n$ spider
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866917017063260160 |
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| author | Bigelow, Stephen |
| author_facet | Bigelow, Stephen |
| contents | 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 $SL_n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_10575 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A new approach to the $SL_n$ spider Bigelow, Stephen Quantum Algebra Representation Theory 17B37 (Primary) 17B10 (Secondary) 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 $SL_n$. |
| title | A new approach to the $SL_n$ spider |
| topic | Quantum Algebra Representation Theory 17B37 (Primary) 17B10 (Secondary) |
| url | https://arxiv.org/abs/1808.10575 |