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Involutive category theory

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Involutive category theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Involutive category theoryby Donald Yau.
Author:	Yau, Donald.
Published:	Cham :Springer International Publishing :2020.
Description:	xii, 243 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Categories (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-030-61203-0
ISBN:	9783030612030$q(electronic bk.)

Involutive category theory
Yau, Donald.

Involutive category theory[electronic resource] /by Donald Yau. - Cham :Springer International Publishing :2020. - xii, 243 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22790075-8434 ;. - Lecture notes in mathematics ;2035..

Category Theory -- Involutive Categories -- Coherence of Involutive Categories -- Involutive Monoidal Categories -- Coherence of Involutive Monoidal Categories -- Coherence of Involutive Symmetric Monoidal Categories -- Categorical Gelfand-Naimark-Segal Construction -- Involutive Operads.

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 Chapters three through five feature previously unpublished results on coherence and strictification of involutive categories and involutive monoidal categories, showcasing the author's state-of-the-art research.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 objects will also find this a valuable reference.

ISBN: 9783030612030$q(electronic bk.)

Standard No.: 10.1007/978-3-030-61203-0doiSubjects--Topical Terms:

206297
Categories (Mathematics)

LC Class. No.: QA169 / .Y384 2020

Dewey Class. No.: 512.62

Involutive category theory
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505 0 $a Category Theory -- Involutive Categories -- Coherence of Involutive Categories -- Involutive Monoidal Categories -- Coherence of Involutive Monoidal Categories -- Coherence of Involutive Symmetric Monoidal Categories -- Categorical Gelfand-Naimark-Segal Construction -- Involutive Operads.
520 $a 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 objects will also find this a valuable reference.
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