There is a well-known correspondence between the objects of
algebra and geometry: a space gives rise to a function algebra; a
vector bundle over the space corresponds to a projective module
over this algebra; cohomology can be read off the de Rham complex;
and so on. In this book Yuri Manin addresses a variety of instances
in which the application of commutative algebra cannot be used to
describe geometric objects, emphasizing the recent upsurge of
activity in studying noncommutative rings as if they were function
rings on "noncommutative spaces." Manin begins by summarizing and
giving examples of some of the ideas that led to the new concepts
of noncommutative geometry, such as Connes' noncommutative de Rham
complex, supergeometry, and quantum groups. He then discusses
supersymmetric algebraic curves that arose in connection with
superstring theory; examines superhomogeneous spaces, their
Schubert cells, and superanalogues of Weyl groups; and provides an
introduction to quantum groups. This book is intended for
mathematicians and physicists with some background in Lie groups
and complex geometry.
Originally published in 1991.
The Princeton Legacy Library uses the latest print-on-demand
technology to again make available previously out-of-print books
from the distinguished backlist of Princeton University Press.
These paperback editions preserve the original texts of these
important books while presenting them in durable paperback
editions. The goal of the Princeton Legacy Library is to vastly
increase access to the rich scholarly heritage found in the
thousands of books published by Princeton University Press since
its founding in 1905.
General
Imprint: |
Princeton University Press
|
Country of origin: |
United States |
Series: |
Princeton Legacy Library |
Release date: |
June 2014 |
First published: |
July 2014 |
Authors: |
Y. Manin
|
Dimensions: |
254 x 178 x 10mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
174 |
ISBN-13: |
978-0-691-60716-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Algebraic geometry
|
LSN: |
0-691-60716-8 |
Barcode: |
9780691607160 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!