Infinity Operads & Monoidal Categories Group Equivariance
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Book Overview This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structure...
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.
Book Details Format: Hardcover | Pages: 471 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811250928
FormatHardcover
Pages471
LanguageEnglish
ISBN9811250928
EAN9789811250927
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight2.13 Pounds
Length9.61 Inches
Width6.69 Inches
Height1.06 Inches
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