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Lambda-rings

Lambda-rings
Author:
Publisher: World Scientific
Total Pages: 205
Release: 2010
Genre: Commutative rings
ISBN: 9814299103

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"This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before. This book concludes with a chapter on open problems related to lambda-rings."-


Lambda-Rings

Lambda-Rings
Author: Donald Yau
Publisher: World Scientific Publishing Company
Total Pages: 204
Release: 2010-03-02
Genre: Mathematics
ISBN: 9813107847

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This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before. This book concludes with a chapter on open problems related to lambda-rings.


Algebras, Rings and Modules

Algebras, Rings and Modules
Author: Michiel Hazewinkel
Publisher: American Mathematical Soc.
Total Pages: 425
Release: 2010
Genre: Mathematics
ISBN: 0821852620

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Presenting an introduction to the theory of Hopf algebras, the authors also discuss some important aspects of the theory of Lie algebras. This book includes a chapters on the Hopf algebra of symmetric functions, the Hopf algebra of representations of the symmetric groups, the Hopf algebras of the nonsymmetric and quasisymmetric functions, and the Hopf algebra of permutations.


Handbook of Algebra

Handbook of Algebra
Author: M. Hazewinkel
Publisher: Elsevier
Total Pages: 637
Release: 2009-07-08
Genre: Mathematics
ISBN: 0080932819

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Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes


Planetary Ring Systems

Planetary Ring Systems
Author: Ellis D. Miner
Publisher: Springer Science & Business Media
Total Pages: 248
Release: 2007-12-03
Genre: Science
ISBN: 0387739815

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This is the most comprehensive and up-to-date book on the topic of planetary rings systems yet written. The book is written in a style and at a language level easily accessible to the interested non-expert. The authors cover the scientific significance of ring studies, the history of their discovery and characterization, the observations of Pioneer 10 at Jupiter, Pioneer 11 and Voyager 1 at Jupiter and Saturn, Voyager 2 at all four giant planets of the solar system, and Galileo at Jupiter. Each chapter includes extensive notes, references, figures and tables. A bibliography is included at the end of each chapter.


Algebraic K-theory

Algebraic K-theory
Author: Victor Percy Snaith
Publisher: American Mathematical Soc.
Total Pages: 380
Release: 1997-01-01
Genre: Mathematics
ISBN: 9780821871232

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The conference proceedings volume is produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in March 1996. The volume is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory. In addition to research papers treated directly in the lectures at the conference, this volume contains the following: i) several timely articles inspired by those lectures (particularly by that of V. Voevodsky), ii) an extensive exposition by Steve Mitchell of Thomason's famous result concerning the relationship between algebraic K-theory and etale cohomology, iii) a definitive exposition by J-L. Colliot-Thelene, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in K-theory and also to graduate students and researchers seeking good advanced exposition.


Handbook of Algebra

Handbook of Algebra
Author:
Publisher: Elsevier
Total Pages: 1184
Release: 2003-10-15
Genre: Mathematics
ISBN: 9780080532974

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Handbook of Algebra


Mixed Motives

Mixed Motives
Author: Marc Levine
Publisher: American Mathematical Soc.
Total Pages: 529
Release: 1998
Genre: Mathematics
ISBN: 0821807854

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This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.


Differential Equations - Geometry, Symmetries and Integrability

Differential Equations - Geometry, Symmetries and Integrability
Author: Boris Kruglikov
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 2009-07-24
Genre: Mathematics
ISBN: 3642008739

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The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebro-geometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories. This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.