Author: Tsi-Yuen Lam
Publisher: Springer
Keywords: rings, noncommutative, course, first
Number of Pages: 408
Published: 2001-06-21
List price: $99.00
ISBN-10: 0387951830
ISBN-13: 9780387951836

This book, an outgrowth of the author’s lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson’s theory of the radical, representation theory of groups and algebras, prime and semiprime rings, local and semilocal rings, perfect and semiperfect rings, etc. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suita

Author: Tsit Yuen Lam
Publisher: Springer
Keywords: rings, noncommutative, course, first
Number of Pages: 408
Published: 2001-06-21
List price: $64.95
ISBN-10: 0387953256
ISBN-13: 9780387953250

This book, an outgrowth of the author’s lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson’s theory of the radical, representation theory of groups and algebras, prime and semiprime rings, local and semilocal rings, perfect and semiperfect rings, etc. By aiming the level of writing at the novice rather than the connoisseur and by stressing the role of examples and motivation, the author has produced a text that is suita

Author: Alain Connes
Publisher: Academic Press
Keywords: geometry, noncommutative
Number of Pages: 661
Published: 1994-12-06
List price: $134.00
ISBN-10: 012185860X
ISBN-13: 9780121858605

This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics, quantization, and elementary particles and fields. Key Features* First full treatment of the subject and its applications* Written by the pioneer of thi

Author: William Arveson
Publisher: Springer
Keywords: semigroups, dynamics, noncommutative
Number of Pages: 440
Published: 2003-05-12
List price: $124.00
ISBN-10: 0387001514
ISBN-13: 9780387001517

The term Noncommutative Dynamics can be interpreted in several ways. It is used in this book to refer to a set of phenomena associated with the dynamics of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a one-parameter group of automorphisms of a noncommutative algebra of observables, and the author focuses primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space. This subject overlaps with several mathe

Author: J. Madore
Publisher: Cambridge University Press
Keywords: physical, applications, geometry, differential, noncommutative, introduction
Number of Pages: 380
Published: 1999-02-01
List price: $79.00
ISBN-10: 0521659914
ISBN-13: 9780521659918

This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students an

中文参考译名:简明百科全书超 - 而在数学和物理结构的非交换
Author: S. Duplij
Publisher: Springer
Keywords: mathematics, physics, structures, noncommutative, encyclopedia, supersymmetry, concise
Number of Pages: 561
Published: 2003-12-01
List price: $249.00
ISBN-10: 1402013388
ISBN-13: 9781402013386

The Concise Encyclopedia of Supersymmetry presents outstanding achievements and ideas, both well-established and more recent, in quantum field theory, supersymmetry, supergravity, M-theory, black holes and quantum gravity, noncommutative geometry, representation theory, categories and quantum groups, which pushes the reader at the forefront of the latest their developments. The Concise Encyclopedia of Supersymmetry consists of more than 700 clear and informative, but comprehensive, authored articles and definitions from more than 250 high level experts and well-known scientists including Nobel

Author: Joseph C. Varilly
Publisher: European Mathematical Society
Keywords: lectures, mathematics, series, ems, noncommutative, geometry, introduction
Number of Pages: 121
Published: 2006-06-15
List price: $34.00
ISBN-10: 3037190248
ISBN-13: 9783037190241

Noncommutative geometry, inspired by quantum physics, describes singular spaces by their noncommutative coordinate algebras and metric structures by Dirac-like operators. Such metric geometries are described mathematically by Connes’ theory of spectral triples. These lectures, delivered at an EMS Summer School on noncommutative geometry and its applications, provide an overview of spectral triples based on examples. This introduction is aimed at graduate students of both mathematics and theoretical physics. It deals with Dirac operators on spin manifolds, noncommutative tori, Moyal qu