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.

Review

"[This reviewer] like[s] the book a lot. First, because of the excellent mathematics it contains. But second, because of the truly enlightening way this mathematics gets conveyed to the reader." (Bulletin of the American Mathematical Society)

"About this title" may belong to another edition of this title.

Store Description

Account dedicated to Print on Demand titles. Brook Bookstore offers a wide selection of books with a continuously updated catalog and fast shipments all over the world. We hold distribution rights with all of the publishers we promote and are in continuous search of new interesting titles to propose to our customers. We are part of Brandon Group SRL (an Italian company) and all of the orders are shipped from Europe. Depending on availability orders will be picked from our different warehouses. CONTACT US If you have any questions please do not hesitate to contact us sending a message to our store. We have a well prepared customer service team who will be happy to assist you. Our working hours are from Monday to Friday from 9:30 to 18:30 (CET, UTC +1) so messages received during the weekends might be responded with a slight delay but we guarantee you will get back to you as soon as possible. RETURNS If you want to return your order, please submit your request through Abebooks platform. Returns requests are managed case by case by our team and always in line with Abebooks policies: AbeBooks? Return Policy guarantees that you can return any book for a refund within 30 days, when the return is due to an error on the bookseller?s part. When the motive of the return is not due to an error of the seller it is up to Brook Bookstore to accept the return or else after studying the case. CANCELLATION You can send a cancellation request to our customer service team while the package has not yet been shipped. After that we cannot ensure we can retrieve the parcel but we suggest you to get in touch with us in order to verify the case. INVOICE You can request the invoice to be issued together with the shipment of the order or, at the latest, in the same month of the shipment.

Visit Seller's Storefront

Seller's business information

Brandon Group S.R.L.
Via Vannella Gaetani 27, Brandon Group, Napoli, NA, 80121, Italy

Sale & Shipping Terms

Terms of Sale

Account dedicated to Print on Demand titles.

CANCELLATION
You can send a cancellation request from the order page while the package has not yet been shipped. After that we cannot ensure we can retrieve the parcel but we suggest you to get in touch with us in order to verify the case.

INVOICE
You can request the invoice to be issued together with the shipment of the order or, at the latest, in the same month of the shipment.

RETURNS
If you want to return your order, please contact us for authoriz...

More Information

Shipping Terms

Shipping rates from Italy to U.S.A.

Shipping rates from Italy to U.S.A.
Order quantity	25 to 40 business days	60 to 60 business days
First item	US$ 6.32	US$ 586.89

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.