ISBN: 9780792335757
ID: 15392432
This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and. This book is based on lectures delivered at Harvard in the Spring of 1991 and at the University of Utah during the academic year 1992-93. Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.). It is helpful, however, to know some basics of algebraic geometry and representation theory. Each chapter begins with its own introduction, and most sections even have a short overview. The purpose of what follows is to explain the spirit of the book and how different parts are linked together without entering into details. The point of departure is the notion of the left spectrum of an associative ring, and the first natural steps of general theory of noncommutative affine, quasi-affine, and projective schemes. This material is presented in Chapter I. Further developments originated from the requirements of several important examples I tried to understand, to begin with the first Weyl algebra and the quantum plane. The book reflects these developments as I worked them out in reallife and in my lectures. In Chapter 11, we study the left spectrum and irreducible representations of a whole lot of rings which are of interest for modern mathematical physics. The dasses of rings we consider indude as special cases: quantum plane, algebra of q-differential operators, (quantum) Heisenberg and Weyl algebras, (quantum) enveloping algebra ofthe Lie algebra sl(2) , coordinate algebra of the quantum group SL(2), the twisted SL(2) of Woronowicz, so called dispin algebra and many others. Books, Science and Geography~~Mathematics~~Geometry, Noncommutative Algebraic Geometry And Representations Of Quantized Algebras~~Book~~9780792335757~~Alexander L. Rosenberg, , , , , , , , , ,, [PU: Kluwer Academic Publishers]
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ISBN: 9780792335757
ID: 9780792335757
This book contains an introduction to the recently developed spectral theory of associative rings and Abelian categories, and its applications to the study of irreducible representations of classes of algebras which play an important part in modern mathematical physics. Audience: A self-contained volume for researchers and graduate students interested in new geometric ideas in algebra, and in the spectral theory of noncommutative rings, currently invading mathematical physics. This book contains an introduction to the recently developed spectral theory of associative rings and Abelian categories, and its applications to the study of irreducible representations of classes of algebras which play an important part in modern mathematical physics. Audience: A self-contained volume for researchers and graduate students interested in new geometric ideas in algebra, and in the spectral theory of noncommutative rings, currently invading mathematical physics. Valuable reading for mathematicians working on representation theory, quantum groups and related topics, noncommutative algebra, algebraic geometry, and algebraic K-theory. Textbooks New, Books~~Mathematics~~Geometry~~Algebraic, Noncommutative-Algebraic-Geometry-and-Representations-of-Quantized-Algebras~~Alexander-L-Rosenberg, 999999999, Noncommutative Algebraic Geometry and Representations of Quantized Algebras, A. Rosenberg, 0792335759, Springer Netherlands, , , , , Springer Netherlands
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1995
ISBN: 0792335759
ID: 9814147979
[EAN: 9780792335757], Neubuch, [PU: Springer Jun 1995], MATHEMATIK; DIFFERENZIALTOPOLOGIE ( TOPOLOGIE ); -, This item is printed on demand - Print on Demand Titel. - This book contains an introduction to the recently developed spectral theory of associative rings and Abelian categories, and its applications to the study of irreducible representations of classes of algebras which play an important part in modern mathematical physics. Audience: A self-contained volume for researchers and graduate students interested in new geometric ideas in algebra, and in the spectral theory of noncommutative rings, currently invading mathematical physics. Valuable reading for mathematicians working on representation theory, quantum groups and related topics, noncommutative algebra, algebraic geometry, and algebraic K-theory. 340 pp. Englisch
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ISBN: 9780792335757
ID: 9780792335757
Noncommutative Algebraic Geometry and Representations of Quantized Algebras 1st Edition Author :A. Rosenberg 9780792335757 0792335759, [PU: Kluwer Academic Publishers]
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Title: | Noncommutative Algebraic Geometry and Representations of Quantized Algebras |
ISBN: | 9780792335757 |
Details of the book - Noncommutative Algebraic Geometry and Representations of Quantized Algebras
EAN (ISBN-13): 9780792335757
ISBN (ISBN-10): 0792335759
Hardcover
Publishing year: 1995
Publisher: Springer-Verlag GmbH
340 Pages
Weight: 0,654 kg
Language: eng/Englisch
Book in our database since 06.06.2007 17:23:06
Book found last time on 12.05.2016 14:06:58
ISBN/EAN: 9780792335757
ISBN - alternate spelling:
0-7923-3575-9, 978-0-7923-3575-7
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