Infinity Operads And Monoidal Categories With Group Equivariance is popular PDF and ePub book, written by Donald Yau in 2021-12-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Infinity Operads And Monoidal Categories With Group Equivariance can be Read Online from any device for your convenience.
Infinity Operads And Monoidal Categories With Group Equivariance Book PDF Summary
This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the first three parts of this monograph, we establish a foundation for group operads and for their higher coherent analogues called infinity group operads. Examples include planar, symmetric, braided, ribbon, and cactus operads, and their infinity analogues. For example, with the tools developed here, we observe that the coherent ribbon nerve of the universal cover of the framed little 2-disc operad is an infinity ribbon operad.In Part 4 we define general monoidal categories equipped with an action operad equivariant structure and provide a unifying treatment of coherence and strictification for them. Examples of such monoidal categories include symmetric, braided, ribbon, and coboundary monoidal categories, which naturally arise in the representation theory of quantum groups and of coboundary Hopf algebras and in the theory of crystals of finite dimensional complex reductive Lie algebras.
Detail Book of Infinity Operads And Monoidal Categories With Group Equivariance PDF
- Author : Donald Yau
- Release : 02 December 2021
- Publisher : World Scientific
- ISBN : 9789811250941
- Genre : Mathematics
- Total Page : 486 pages
- Language : English
- PDF File Size : 8,5 Mb
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