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Titlebook: Involutive Category Theory; Donald Yau Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natu

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发表于 2025-3-21 16:20:44 | 显示全部楼层 |阅读模式
书目名称Involutive Category Theory
编辑Donald Yau
视频video
概述Offers an accessible introduction to involutive categories and involutive operads, bringing readers from the basics to cutting-edge research.Collects and expands upon material that has previously been
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Involutive Category Theory;  Donald Yau Book 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natu
描述.This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. Additionally, the author’s own recent advances in the area are featured, never having appeared previously in the literature...The opening chapters offer an introduction to basic category theory, ideal for readers new to the area. Chapters three through five feature previously unpublished results on coherence and strictification of involutive categories and involutive monoidal categories, showcasing the author’s state-of-the-art research. Chapters on coherence of involutive symmetric monoidal categories, and categorical GNS construction follow. The last chapter covers involutive operads and lays important coherence foundations for applications to algebraic quantum field theory...With detailed explanations and exercises throughout, .Involutive Category Theory .is suitable for graduate seminars and independent study. Mathematicians and mathematical physicists who use involutive object
出版日期Book 2020
关键词Involutive categories; Involutive monoidal categories; Involutive monoids; Involutive monads; Involutive
版次1
doihttps://doi.org/10.1007/978-3-030-61203-0
isbn_softcover978-3-030-61202-3
isbn_ebook978-3-030-61203-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Involutive Monoidal Categories,h incorporates the symmetry isomorphism in a way that is different from a commutative monoid. Reversing involutive monoids are important because they include complex unital ∗-algebras and their differential graded analogues as examples.
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Coherence of Involutive Monoidal Categories,idal category via an involutive adjoint equivalence involving involutive strong monoidal functors. The remaining two sections contain explicit constructions of the free involutive (strict) monoidal category generated by an involutive category.
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Book 2020eory. The author adopts an accessible approach for readers seeking an overview of involutive category theory, from the basics to cutting-edge applications. Additionally, the author’s own recent advances in the area are featured, never having appeared previously in the literature...The opening chapte
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Lecture Notes in Mathematicshttp://image.papertrans.cn/i/image/475065.jpg
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978-3-030-61202-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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