dorsal/arxiv
View SchemaOn Associators and the Grothendieck-Teichmuller Group I
| Authors | Dror Bar-Natan |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606021 |
| URL | https://arxiv.org/abs/q-alg/9606021 |
Abstract
We present a formalism within which the relationship (discovered by Drinfel'd) between associators (for quasi-triangular quasi-Hopf algebras) and (a variant of) the Grothendieck-Teichmuller group becomes simple and natural, leading to a simplification of Drinfel'd's original work. In particular, we re-prove that rational associators exist and can be constructed iteratively, though the proof itself still depends on the apriori knowledge that a not-necessarily-rational associator exists.
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"abstract": "We present a formalism within which the relationship (discovered by\nDrinfel\u0027d) between associators (for quasi-triangular quasi-Hopf algebras) and\n(a variant of) the Grothendieck-Teichmuller group becomes simple and natural,\nleading to a simplification of Drinfel\u0027d\u0027s original work. In particular, we\nre-prove that rational associators exist and can be constructed iteratively,\nthough the proof itself still depends on the apriori knowledge that a\nnot-necessarily-rational associator exists.",
"arxiv_id": "q-alg/9606021",
"authors": [
"Dror Bar-Natan"
],
"categories": [
"q-alg",
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"title": "On Associators and the Grothendieck-Teichmuller Group I",
"url": "https://arxiv.org/abs/q-alg/9606021"
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