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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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1991 |
Year of Publication: | 2014 |
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Language: | English |
Series: | Porter Lectures ;
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Physical Description: | 1 online resource (174 p.) |
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Manin, Y., author. aut http://id.loc.gov/vocabulary/relators/aut Topics in Non-Commutative Geometry / Y. Manin. Course Book Princeton, NJ : Princeton University Press, [2014] ©1991 1 online resource (174 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Porter Lectures ; 12 Frontmatter -- CONTENTS -- PREFACE -- CHAPTER 1 . AN OVERVIEW -- CHAPTER 2. SUPERSYMMETRIC ALGEBRAIC CURVES -- CHAPTER 3. FLAG SUPERSPACES AND SCHUBERT SUPERCELLS -- CHAPTER 4. QUANTUM GROUPS AS SYMMETRIES OF -- BIBLIOGRAPHY -- INDEX restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Geometry, Algebraic. Noncommutative rings. MATHEMATICS / Geometry / Algebraic. bisacsh Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 9783110413441 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691607160 https://doi.org/10.1515/9781400862511 https://www.degruyter.com/isbn/9781400862511 Cover https://www.degruyter.com/cover/covers/9781400862511.jpg |
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English |
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eBook |
author |
Manin, Y., Manin, Y., |
spellingShingle |
Manin, Y., Manin, Y., Topics in Non-Commutative Geometry / Porter Lectures ; Frontmatter -- CONTENTS -- PREFACE -- CHAPTER 1 . AN OVERVIEW -- CHAPTER 2. SUPERSYMMETRIC ALGEBRAIC CURVES -- CHAPTER 3. FLAG SUPERSPACES AND SCHUBERT SUPERCELLS -- CHAPTER 4. QUANTUM GROUPS AS SYMMETRIES OF -- BIBLIOGRAPHY -- INDEX |
author_facet |
Manin, Y., Manin, Y., |
author_variant |
y m ym y m ym |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Manin, Y., |
title |
Topics in Non-Commutative Geometry / |
title_full |
Topics in Non-Commutative Geometry / Y. Manin. |
title_fullStr |
Topics in Non-Commutative Geometry / Y. Manin. |
title_full_unstemmed |
Topics in Non-Commutative Geometry / Y. Manin. |
title_auth |
Topics in Non-Commutative Geometry / |
title_alt |
Frontmatter -- CONTENTS -- PREFACE -- CHAPTER 1 . AN OVERVIEW -- CHAPTER 2. SUPERSYMMETRIC ALGEBRAIC CURVES -- CHAPTER 3. FLAG SUPERSPACES AND SCHUBERT SUPERCELLS -- CHAPTER 4. QUANTUM GROUPS AS SYMMETRIES OF -- BIBLIOGRAPHY -- INDEX |
title_new |
Topics in Non-Commutative Geometry / |
title_sort |
topics in non-commutative geometry / |
series |
Porter Lectures ; |
series2 |
Porter Lectures ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (174 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- CONTENTS -- PREFACE -- CHAPTER 1 . AN OVERVIEW -- CHAPTER 2. SUPERSYMMETRIC ALGEBRAIC CURVES -- CHAPTER 3. FLAG SUPERSPACES AND SCHUBERT SUPERCELLS -- CHAPTER 4. QUANTUM GROUPS AS SYMMETRIES OF -- BIBLIOGRAPHY -- INDEX |
isbn |
9781400862511 9783110413441 9783110413595 9783110442496 9780691607160 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA564 |
callnumber-sort |
QA 3564 |
url |
https://doi.org/10.1515/9781400862511 https://www.degruyter.com/isbn/9781400862511 https://www.degruyter.com/cover/covers/9781400862511.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
516 - Geometry |
dewey-full |
516.3/5 |
dewey-sort |
3516.3 15 |
dewey-raw |
516.3/5 |
dewey-search |
516.3/5 |
doi_str_mv |
10.1515/9781400862511 |
oclc_num |
979583769 |
work_keys_str_mv |
AT maniny topicsinnoncommutativegeometry |
status_str |
n |
ids_txt_mv |
(DE-B1597)447874 (OCoLC)979583769 |
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cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Topics in Non-Commutative Geometry / |
container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 |
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