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 Chapters three through five feature previously unpublished results on coherence and strictification of involutive categories and involutive monoidal categories, showcasing the author's state-of-the-art research.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.
Produkt-Info
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Illustrationen
197 s/w Abbildungen
XII, 243 p. 197 illus.
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-3-030-61202-3 (9783030612023)
DOI
10.1007/978-3-030-61203-0
Schweitzer Klassifikation
Donald Yau is Professor of Mathematics at The Ohio State University at Newark. He obtained his PhD at MIT and held a post-doctoral position at the University of Illinois at Urbana-Champaign. His research focuses on algebraic topology. He has authored over forty articles and eight books, including the Springer titles Operads of Wiring Diagrams and Infinity Properads and Infinity Wheeled Properads.
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.
