Topics in Non-Commutative Geometry / / Y. Manin.
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 addresse...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1991 |
Year of Publication: | 2014 |
Edition: | Course Book |
Language: | English |
Series: | Porter Lectures ;
12 |
Online Access: | |
Physical Description: | 1 online resource (174 p.) |
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100 | 1 | |a Manin, Y., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Topics in Non-Commutative Geometry / |c Y. Manin. |
250 | |a Course Book | ||
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2014] | |
264 | 4 | |c ©1991 | |
300 | |a 1 online resource (174 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
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490 | 0 | |a Porter Lectures ; |v 12 | |
505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t PREFACE -- |t CHAPTER 1 . AN OVERVIEW -- |t CHAPTER 2. SUPERSYMMETRIC ALGEBRAIC CURVES -- |t CHAPTER 3. FLAG SUPERSPACES AND SCHUBERT SUPERCELLS -- |t CHAPTER 4. QUANTUM GROUPS AS SYMMETRIES OF -- |t BIBLIOGRAPHY -- |t INDEX |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
650 | 0 | |a Geometry, Algebraic. | |
650 | 0 | |a Noncommutative rings. | |
650 | 7 | |a MATHEMATICS / Geometry / Algebraic. |2 bisacsh | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Legacy Lib. eBook Package 1980-1999 |z 9783110413441 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Legacy Lib. eBook Package Science |z 9783110413595 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
776 | 0 | |c print |z 9780691607160 | |
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856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400862511 |
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