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Noncommutative Algebraic Geometry and Representations of Quantized Algebras
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Noncommutative Algebraic Geometry and Representations of Quantized Algebras - neues Buch

ISBN: 9780792335757

ID: 9780792335757

Noncommutative Algebraic Geometry and Representations of Quantized Algebras: Hardback: Kluwer Academic Publishers: 9780792335757: 30 Jun 1995: This text contains an introduction to the recently developed spectral theory of associative rings and Abelian categories. Its applications to the study of irreducible representations of classes of algebras which play an important part in modern mathematical physics are also included. 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. Algebra, , , , , , , , , , , ,, [PU: Kluwer Academic Publishers]

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Noncommutative Algebraic Geometry and Representations of Quantized Algebras (Hardback) - Alexander L. Rosenberg
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1995, ISBN: 0792335759

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[EAN: 9780792335757], New book, [SC: 0.0], [PU: Kluwer Academic Publishers, United States], Mathematics|Algebra|General, Mathematics|Geometry|Algebraic, Language: English . Brand New Book ***** Print on Demand *****. 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.

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Noncommutative Algebraic Geometry and Representations of Quantized Algebras (Hardback) - Alexander L. Rosenberg
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Alexander L. Rosenberg:
Noncommutative Algebraic Geometry and Representations of Quantized Algebras (Hardback) - gebunden oder broschiert

1995, ISBN: 0792335759

ID: 3119780834

[EAN: 9780792335757], New book, [SC: 0.0], [PU: Kluwer Academic Publishers, United States], Mathematics|Algebra|General, Mathematics|Geometry|Algebraic, Language: English . Brand New Book ***** Print on Demand *****.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.

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Noncommutative Algebraic Geometry and Representations of Quantized Algebras - Rosenberg, A.
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Rosenberg, A.:
Noncommutative Algebraic Geometry and Representations of Quantized Algebras - gebunden oder broschiert

ISBN: 9780792335757

[ED: Hardcover], [PU: Springer Netherlands], 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. xii, 322 S. XII, 322 p. 234 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Noncommutative Algebraic Geometry and Representations of Quantized Algebras - A. Rosenberg
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ISBN: 9780792335757

ID: 9780792335757

Mathematics; Associative Rings and Algebras; Topological Groups, Lie Groups; Category Theory, Homological Algebra; Applications of Mathematics Abelian category, Algebraic K-theory, Dimension, Grad, K-theory, algebra, algebraic geometry, associative ring, commutative algebra, commutative ring, representation theory Books Book, Springer Science+Business Media

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Details zum Buch
Noncommutative Algebraic Geometry and Representations of Quantized Algebras

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.

Detailangaben zum Buch - Noncommutative Algebraic Geometry and Representations of Quantized Algebras


EAN (ISBN-13): 9780792335757
ISBN (ISBN-10): 0792335759
Gebundene Ausgabe
Erscheinungsjahr: 1995
Herausgeber: Springer-Verlag GmbH
340 Seiten
Gewicht: 0,654 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 06.06.2007 17:23:06
Buch zuletzt gefunden am 16.06.2017 06:05:39
ISBN/EAN: 0792335759

ISBN - alternative Schreibweisen:
0-7923-3575-9, 978-0-7923-3575-7


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