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This book develops the machinery of homological algebra and its applications to commutative rings and modules. It assumes familiarity with basic commutative algebra, for example, …
The notion of a 'quantum group' was introduced by V.G. Dinfeld and M. Jimbo, independently, in their study of the quantum Yang-Baxter equation arising from 2-dimensional solvable …
This book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to …
Self-contained, in-depth account of the linkage between nonassociative algebra and projective planes, with particular emphasis on octonion planes.
This work and "Fundamentals of the Theory of Operator Algebras Volume II, Advanced Theory" present an introduction to functional analysis and the initial fundamentals of $C^*$- and …
Representation theory investigates the different ways in which a given algebraic object--such as a group or a Lie algebra--can act on a vector space. Besides being a subject of …
Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for …