Authors:Matilde Marcolli, Deepak Parashar,
Publisher: Amer Mathematical Society
Keywords: aspects, mathematics, vieweg, spaces, groups, noncommutative, quantum
Number of Pages: 240
Published: 2010-09-15
List price: $75.00
ISBN-10: 3834814423
ISBN-13: 9783834814425

Authors:Kalyan B. Sinha, Debashish Goswami,
Publisher: Cambridge University Press
Keywords: cambridge, tracts, mathematics, geometry, noncommutative, stochastic, processes, quantum
Number of Pages: 300
Published: 2007-01-29
List price: $110.00
ISBN-10: 0521834503
ISBN-13: 9780521834506

The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Go

Author: Lieven Le Bruyn
Publisher: Chapman and Hall/CRC
Keywords: hall, crc, applied, mathematics, amp, chapman, geometry, cayley, smooth, orders, noncommutative
Number of Pages: 592
Published: 2007-08-24
List price: $109.95
ISBN-10: 1420064223
ISBN-13: 9781420064223

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the étale local structure of such orders as well as their central singularities and finite dimensional representations.After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce étale topology and its use in noncommutative algebra as well as to coll

Authors:Gregory S. Chirikjian, Alexander B. Kyatki,
Publisher: CRC
Keywords: rotation, motion, groups, emphasis, analysis, applications, noncommutative, harmonic, engineering
Number of Pages: 674
Published: 2000-09-28
List price: $134.95
ISBN-10: 0849307481
ISBN-13: 9780849307485

The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems.Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written sp

Authors:Joseph C. Varilly, Hector Figueroa, Jose M. Gracia
Publisher: Birkhäuser Bosto
Keywords: texts, basler, lehrbã¼cher, advanced, birkhã¤user, noncommutative, geometry, elements
Number of Pages: 400
Published: 2000-10-23
List price: $99.00
ISBN-10: 0817641246
ISBN-13: 9780817641245

In recent years noncommutative geometry has been a rich topic of research with discoveries leading to an increasing number of applications in mathematics and theoretical physics. Very little has appeared in book form since Alain Connes’ work in the early 90s to deal with this subject. "Elements of Noncommutative Geometry" fills an important gap in the literature. Key features of the work include: * unified and comprehensive presentation of core topics and key research results drawing from several branches of mathematics * rigorous, well-written, nearly self-contained exposition of nonco

Author: Louis Halle Rowen
Publisher: American Mathematical Society
Keywords: graduate, mathematics, studies, noncommutative, algebra, view
Number of Pages: 648
Published: 2008-12-30
List price: $85.00
ISBN-10: 082184153X
ISBN-13: 9780821841532

This book is a companion volume to Graduate Algebra: Commutative View (published as volume 73 in this series). The main and most important feature of the book is that it presents a unified approach to many important topics, such as group theory, ring theory, Lie algebras, and gives conceptual proofs of many basic results of noncommutative algebra. There are also a number of major results in noncommutative algebra that are usually found only in technical works, such as Zelmanov’s proof of the restricted Burnside problem in group theory, word problems in groups, Tits’s alternative in

Author: I. N. Herstein
Publisher: The Mathematical Association of America
Keywords: mathematical, america, textbooks, association, monographs, carus, noncommutative, rings
Number of Pages: 228
Published: 2005-09-08
List price: $39.95
ISBN-10: 0883850397
ISBN-13: 9780883850398

"Nommutative Rings" provides a cross-section of ideas, techniques and results that give the reader an idea of that part of algebra which concerns itself with noncommutative rings. In the space of 200 pages, Herstein covers the Jacobson radical, semisimple rings, commutativity theorems, simple algebras, representations of finite groups, polynomial identities, Goldie’s theorem and the Golod-Shafarevitch theorem. Almost every practicing ring theorist has studied portions of this classic monograph.