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#### Quantum Lie Theory

Springer International Publishing 2015; US$ 47.14This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations.... more...

#### Monotone Complete C*-algebras and Generic Dynamics

Springer London 2015; US$ 88.40This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras. Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very... more...

#### A Concise Introduction to Analysis

Springer International Publishing 2015; US$ 41.25This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment... more...

#### Boolean Representations of Simplicial Complexes and Matroids

Springer International Publishing 2015; US$ 88.40This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric... more...

#### An Invitation to General Algebra and Universal Constructions

Springer International Publishing 2015; US$ 70.72Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation... more...

#### Bridging Algebra, Geometry, and Topology

Springer International Publishing 2014; US$ 102.55Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics. This book focuses on specific aspects of this interaction. The present volume contains refereed papers which were presented at the International Conference “Experimental and Theoretical Methods in Algebra, Geometry and Topology”... more...

#### Representation Theory

Springer International Publishing 2014; US$ 106.08Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford... more...

#### Theory of Radicals

Elsevier Science 2014; US$ 72.95Radicals arose originally from structural investigations in rings, but later on they infiltrated into various branches of algebra, as well as into topology and relational structures. This volume is the result of a conference attended by mathematicians from all five continents and thus represents the current state of research in the area. more...

#### Near Rings, Fuzzy Ideals, and Graph Theory

CRC Press 2013; US$ 104.95Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the book presents the essentials of near rings theory,... more...

#### Clifford Algebras and Lie Theory

Springer Berlin Heidelberg 2013; US$ 50.68This book covers the basics of Clifford algebras and spinor modules, with applications to the theory of Lie groups. Topics include Petracci’s proof of the Poincare-Birkhoff-Witt theorem, quantized Weil algebras, Duflo’s theorem for quadratic Lie algebras and more. more...