An Introduction to K-Theory for C*-Algebras, M. R?rdam
Автор: M. R?rdam Название: An Introduction to K-Theory for C*-Algebras ISBN: 0521783348 ISBN-13(EAN): 9780521783347 Издательство: Cambridge Academ Рейтинг: Цена: 14380 р. Наличие на складе: Поставка под заказ.
Описание: Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott’s classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.
Описание: Introduces the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. Here, a good knowledge of linear algebra is presupposed, as well as some acquaintance with the methods of abstract algebra.
Автор: Alexander Kirillov, Jr Название: An Introduction to Lie Groups and Lie Algebras ISBN: 0521889693 ISBN-13(EAN): 9780521889698 Издательство: Cambridge Academ Рейтинг: Цена: 9722 р. Наличие на складе: Поставка под заказ.
Описание: With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.
Автор: Steven Givant; Paul Halmos Название: Introduction to Boolean Algebras ISBN: 0387402934 ISBN-13(EAN): 9780387402932 Издательство: Springer Рейтинг: Цена: 4961 р. Наличие на складе: Поставка под заказ.
Описание: Suitable for advanced undergraduates and beginning graduate students, this book treats Boolean algebras, develops some ideas, and provides insights. It includes explanation of the relationship between Boolean rings and Boolean algebras. It features chapters on topology and on continuous functions.
Автор: Garling Название: Clifford Algebras: An Introduction ISBN: 1107422191 ISBN-13(EAN): 9781107422193 Издательство: Cambridge Academ Рейтинг: Цена: 4929 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.
Автор: Garling Название: Clifford Algebras: An Introduction ISBN: 1107096383 ISBN-13(EAN): 9781107096387 Издательство: Cambridge Academ Рейтинг: Цена: 13694 р. Наличие на складе: Поставка под заказ.
Описание: A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.
Автор: Erdmann Название: Introduction to Lie Algebras ISBN: 1846280400 ISBN-13(EAN): 9781846280405 Издательство: Springer Рейтинг: Цена: 4037 р. Наличие на складе: Поставка под заказ.
Описание: Lie groups and Lie algebras have become essential to many parts of mathematics and theoretical physics. This book provides an elementary introduction to Lie algebras based on a lecture course given to fourth-year undergraduates. It also acts as a self-study guide for graduate students and researchers in mathematics and theoretical physics.
Описание: The second of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers, geometry of tubes of indecomposable modules, and homological algebra. This volume provides an up-to-date introduction to the representation theory of the representation-infinite hereditary algebras of Euclidean type, as well as to concealed algebras of Euclidean type. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but it will also be of interest to mathematicians in other fields. The text includes many illustrative examples and a large number of exercises at the end of each of the chapters. Proofs are presented in complete detail, making the book suitable for courses, seminars, and self-study.
Описание: The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study.
Описание: This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of finite-oriented graphs (quivers) and homological algebra. The self-contained treatment constitutes an elementary, up-to-date introduction to the subject using, on the one hand, quiver-theoretical techniques and, on the other, tilting theory and integral quadratic forms. Key features include many illustrative examples, plus a large number of end-of-chapter exercises. The detailed proofs make this work suitable both for courses and seminars, and for self-study. The volume will be of great interest to graduate students beginning research in the representation theory of algebras and to mathematicians from other fields.
Описание: The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra. This volume provides an introduction to the representation theory of representation-infinite tilted algebras from the point of view of the time-wild dichotomy. Also included is a collection of selected results relating to the material discussed in all three volumes. The book is primarily addressed to a graduate student starting research in the representation theory of algebras, but will also be of interest to mathematicians in other fields. Proofs are presented in complete detail, and the text includes many illustrative examples and a large number of exercises at the end of each chapter, making the book suitable for courses, seminars, and self-study.
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