CRC Press Noncommutative Deformation Theory Mathematics Book

Noncommutative Deformation Theory offers a comprehensive look into the local structure of moduli spaces in algebraic geometry. This academic text from the Chapman and Hall/CRC Monographs and Research Notes in Mathematics series provides a general theory of noncommutative deformations designed for advanced study. Researchers will find detailed applications regarding the study of moduli spaces of representations of associative algebras. The text also connects these mathematical concepts to quantum theory in physics. A significant portion of the work focuses on the study of obstructions of liftings of representations through the use of generalised (matric) Massey products. This book serves as a specialized resource for mathematicians and physicists. It is built for those interested in the workings of noncommutative algebra and its practical applications in algebraic geometry and mathematical physics. Whether you are studying representation theory or quantum applications, this monograph provides the necessary theoretical framework for your research.