# Higher structures, quantum groups and genus zero modular operad

@article{Manin2019HigherSQ,
title={Higher structures, quantum groups and genus zero modular operad},
author={Yuri I. Manin},
journal={Journal of the London Mathematical Society},
year={2019},
volume={100}
}
• Y. Manin
• Published 12 February 2018
• Mathematics
• Journal of the London Mathematical Society
In my Montreal lecture notes of 1988, it was suggested that the theory of linear quantum groups can be presented in the framework of the category of quadratic algebras (imagined as algebras of functions on ‘quantum linear spaces), and quadratic algebras of their inner (co)homomorphisms.
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Monoidal structures on the categories of quadratic data
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• 2019
The notion of 2--monoidal category used here was introduced by B. Vallette in 2007 for applications in the operadic context. The starting point for this article was a remark by Yu. Manin that in the