Lambda-Rings and the Representation Theory of the Symmetric Group PDF Download

Author: Donald Knutson
Publisher: Springer
ISBN: 3540384081
Category : Mathematics
Languages : en
Pages : 208

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Author: Donald Knutson
Publisher:
ISBN: 9783662188644
Category :
Languages : en
Pages : 216

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Author: Donald Yau
Publisher: World Scientific Publishing Company
ISBN: 9813107847
Category : Mathematics
Languages : en
Pages : 205

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Book Description
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.

Author: Donald Knutson
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Donald Knutson
Publisher:
ISBN:
Category : Commutative rings
Languages : en
Pages : 203

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Book Description

Author: Aleksandr Sergeevich Kleshchëv
Publisher: Cambridge University Press
ISBN: 9780521837033
Category : Mathematics
Languages : en
Pages : 304

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Kleshchev describes a new approach to the subject of the representation theory of symmetric groups.

Author: M. Hazewinkel
Publisher: Elsevier
ISBN: 0080932819
Category : Mathematics
Languages : en
Pages : 637

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Book Description
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

Author: Eli Aljadeff
Publisher: American Mathematical Soc.
ISBN: 1470451743
Category : Education
Languages : en
Pages : 630

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Book Description
A polynomial identity for an algebra (or a ring) A A is a polynomial in noncommutative variables that vanishes under any evaluation in A A. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley–Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.

Author: Alexei Borodin
Publisher: Cambridge University Press
ISBN: 1107175550
Category : Mathematics
Languages : en
Pages : 169

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Book Description
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

Author: Antonio Giambruno
Publisher: CRC Press
ISBN: 1420010964
Category : Mathematics
Languages : en
Pages : 369

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Book Description
This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f