Name: Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)
Price: 195.01 EUR
Availability: InStock
Author: Daniel G. Quillen; Gordon Blower
ISBN: 9781108479615

portada Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

Formato

Libro Físico

Autor

Daniel G. Quillen; Gordon Blower

Encuadernación

Tapa Dura

ISBN13

9781108479615

Categorías

Álgebra

Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

Daniel G. Quillen; Gordon Blower (Autor) · · Tapa Dura

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Reseña del libro "Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)"

Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses on cyclic theory, and is based upon the lecture courses by Daniel G. Quillen at the University of Oxford from 1988–92, which developed his own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background in elementary functional analysis, commutative algebra and differential geometry to get to grips with the subject. Quillen's development of cyclic theory emphasizes analogies between commutative and noncommutative theories, in which he reinterpreted classical results of Hamiltonian mechanics, operator algebras and differential graded algebras into a new formalism. In this book, cyclic theory is developed from motivating examples and background towards general results. Themes covered are relevant to current research, including homomorphisms modulo powers of ideals, traces on noncommutative differential forms, quasi-free algebras and Chern characters on connections.