Bøger af Donald Yau

This book is suitable for graduate students and researchers with an interest in category theory, algebraic K-theory, homotopy theory, and related fields. The presentation is thorough and self-contained, with complete details and background material for non-expert readers.

This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory.

Explores the theory of operads and coloured operads, sometimes called symmetric multicategories. A (coloured) operad is an abstract object which encodes operations with multiple inputs and one output and relations between such operations. Topics covered include basic graph theory, basic category theory, colored operads, and algebras over coloured operads.

The author further explores recent trends in the application of operad theory to wiring diagrams and related structures, including finite presentations for the propagator algebra, the algebra of discrete systems, the algebra of open dynamical systems, and the relational algebra.

The topic of this book sits at the interface of the theory of higher categories (in the guise of ( ,1)-categories) and the theory of properads.