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Topics in Non-Commutative Geometry (Hardcover)
Loot Price: R2,695
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Topics in Non-Commutative Geometry (Hardcover)
Series: Porter Lectures
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Total price: R2,715
Discovery Miles: 27 150
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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 editions preserve the
original texts of these important books while presenting them in
durable paperback and hardcover 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: |
Porter Lectures |
Release date: |
April 2016 |
First published: |
1991 |
Authors: |
Y. Manin
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Dimensions: |
254 x 178 x 11mm (L x W x T) |
Format: |
Hardcover - Trade binding
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Pages: |
174 |
ISBN-13: |
978-0-691-63578-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Algebraic geometry
|
LSN: |
0-691-63578-1 |
Barcode: |
9780691635781 |
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