dorsal/arxiv
View SchemaTwisting of monoidal structures
| Authors | A. A. Davydov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703001 |
| URL | https://arxiv.org/abs/q-alg/9703001 |
Abstract
This article is devoted to the investigation of the deformation (twisting) of monoidal structures, such as the associativity constraint of the monoidal category and the monoidal structure of monoidal functor. The sets of twistings have a (non-abelian) c ohomological nature. Using this fact the maps from the sets of twistings to some cohomology groups (Hochschild cohomology of K-theory) are constructed. The examples of monoidal categories of bimodules over some algebra, modules and comodules over bialgeb ra are examined. We specially concentrate on the case of free tensor category.
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"abstract": "This article is devoted to the investigation of the deformation (twisting) of\nmonoidal structures, such as the associativity constraint of the monoidal\ncategory and the monoidal structure of monoidal functor. The sets of twistings\nhave a (non-abelian) c ohomological nature. Using this fact the maps from the\nsets of twistings to some cohomology groups (Hochschild cohomology of K-theory)\nare constructed. The examples of monoidal categories of bimodules over some\nalgebra, modules and comodules over bialgeb ra are examined. We specially\nconcentrate on the case of free tensor category.",
"arxiv_id": "q-alg/9703001",
"authors": [
"A. A. Davydov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Twisting of monoidal structures",
"url": "https://arxiv.org/abs/q-alg/9703001"
},
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