This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory.
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.
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.
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... Læs mere
The purpose of this monograph is to develop, in full technical detail, a unifying object called a generalized PROP. Then with an appropriate choice of pasting... Læs mere