Introduction To The Theory Of Formal Groups

Author : Jean A. Dieudonne
Publisher : CRC Press
Page : 286 pages
File Size : 42,7 Mb
Release : 2020-01-29
Category : Mathematics
ISBN : 9781000723311

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Introduction to the Theory of Formal Groups by Jean A. Dieudonne Pdf

The concept of formal Lie group was derived in a natural way from classical Lie theory by S. Bochner in 1946, for fields of characteristic 0. Its study over fields of characteristic p > 0 began in the early 1950’s, when it was realized, through the work of Chevalley, that the familiar “dictionary” between Lie groups and Lie algebras completely broke down for Lie algebras of algebraic groups over such a field. This volume, starts with the concept of C-group for any category C (with products and final object), but the author’s do not exploit it in its full generality. The book is meant to be introductory to the theory, and therefore the necessary background to its minimum possible level is minimised: no algebraic geometry and very little commutative algebra is required in chapters I to III, and the algebraic geometry used in chapter IV is limited to the Serre- Chevalley type (varieties over an algebraically closed field).

Author : Jean Alexandre Dieudonné
Publisher : Unknown
Page : 265 pages
File Size : 55,9 Mb
Release : 1973
Category : Electronic
ISBN : OCLC:1087912263

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Introduction to the Theory of Formal Groups by Jean Alexandre Dieudonné Pdf

Author : Michiel Hazewinkel
Publisher : American Mathematical Soc.
Page : 603 pages
File Size : 49,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821853498

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Formal Groups and Applications by Michiel Hazewinkel Pdf

This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics. The seven chapters of the book present basics and main results of the theory, as well as very important applications in algebraic topology, number theory, and algebraic geometry. Each chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introductory graduate algebra course, including certain familiarity with category theory.

Author : Susan Montgomery
Publisher : American Mathematical Soc.
Page : 277 pages
File Size : 52,7 Mb
Release : 1985
Category : Mathematics
ISBN : 9780821850466

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Group Actions on Rings by Susan Montgomery Pdf

Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.

Author : Yau-Chuen Wong
Publisher : CRC Press
Page : 442 pages
File Size : 40,5 Mb
Release : 1992-08-25
Category : Mathematics
ISBN : 082478779X

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Introductory Theory of Topological Vector SPates by Yau-Chuen Wong Pdf

This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Author : Paul Alexandroff
Publisher : Courier Corporation
Page : 128 pages
File Size : 54,6 Mb
Release : 2013-07-24
Category : Mathematics
ISBN : 9780486275970

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An Introduction to the Theory of Groups by Paul Alexandroff Pdf

This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates. Includes a wealth of simple examples, primarily geometrical, and end-of-chapter exercises. 1959 edition.

Author : Stefaan Caenepeel
Publisher : CRC Press
Page : 283 pages
File Size : 40,6 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000147216

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Brauer Groups and the Cohomology of Graded Rings by Stefaan Caenepeel Pdf

This book introduces various notions defined in graded terms extending the notions most frequently used as basic ingredients in the theory of Azumaya algebras: separability and Galois extensions of commutative rings, crossed products and Galois cohomology, Picard groups, and the Brauer group.

Author : Joseph J. Rotman
Publisher : Springer Science & Business Media
Page : 533 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461241768

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An Introduction to the Theory of Groups by Joseph J. Rotman Pdf

Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS

Author : A. Fröhlich
Publisher : Springer
Page : 147 pages
File Size : 51,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540359166

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Formal Groups by A. Fröhlich Pdf

Author : Oleg Vladimirovič Bogopolʹskij
Publisher : European Mathematical Society
Page : 196 pages
File Size : 43,6 Mb
Release : 2008
Category : Mathematics
ISBN : 3037190418

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Introduction to Group Theory by Oleg Vladimirovič Bogopolʹskij Pdf

This book quickly introduces beginners to general group theory and then focuses on three main themes : finite group theory, including sporadic groups combinatorial and geometric group theory, including the Bass-Serre theory of groups acting on trees the theory of train tracks by Bestvina and Handel for automorphisms of free groups With its many examples, exercises, and full solutions to selected exercises, this text provides a gentle introduction that is ideal for self-study and an excellent preparation for applications. A distinguished feature of the presentation is that algebraic and geometric techniques are balanced. The beautiful theory of train tracks is illustrated by two nontrivial examples. Presupposing only a basic knowledge of algebra, the book is addressed to anyone interested in group theory: from advanced undergraduate and graduate students to specialists.

Author : Sergio Albeverio,Raphael J. Hoegh-Krohn,Jean A. Marion,D. Testard,B. Torresani
Publisher : CRC Press
Page : 207 pages
File Size : 43,8 Mb
Release : 1993-08-26
Category : Mathematics
ISBN : 9781482277579

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Noncommutative Distributions by Sergio Albeverio,Raphael J. Hoegh-Krohn,Jean A. Marion,D. Testard,B. Torresani Pdf

Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a general knowledge of the theory of unitary representations, topological groups and elementary st

Author : Abdul Jerri
Publisher : CRC Press
Page : 852 pages
File Size : 44,9 Mb
Release : 2021-11-19
Category : Mathematics
ISBN : 9781000147520

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Integral and Discrete Transforms with Applications and Error Analysis by Abdul Jerri Pdf

This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling of the basic partial differential equations, as well as the solutions in terms of the main special functions; considers the Laplace, Fourier, and Hankel transforms and their variations, offering a more logical continuation of the operational method; covers integral, discrete, and finite transforms and trigonometric Fourier and general orthogonal series expansion, providing an application to signal analysis and boundary-value problems; and examines the practical approximation of computing the resulting Fourier series or integral representation of the final solution and treats the errors incurred.;Containing many detailed examples and numerous end-of-chapter exercises of varying difficulty for each section with answers, Integral and Discrete Transforms with Applications and Error Analysis is a thorough reference for analysts; industrial and applied mathematicians; electrical, electronics, and other engineers; and physicists and an informative text for upper-level undergraduate and graduate students in these disciplines.

Author : Piotr Biler,Tadeusz Nadzieja
Publisher : CRC Press
Page : 264 pages
File Size : 40,6 Mb
Release : 2020-08-12
Category : Mathematics
ISBN : 9781000147964

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Problems and Examples in Differential Equations by Piotr Biler,Tadeusz Nadzieja Pdf

This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.

Author : Sylvia Guerre-Delabriere
Publisher : CRC Press
Page : 234 pages
File Size : 50,8 Mb
Release : 1992-07-21
Category : Mathematics
ISBN : 0824787234

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Classical Sequences in Banach SPates by Sylvia Guerre-Delabriere Pdf

Author : Alphonse Charlier,Alain Berard,Marie-France Charlier,Daniele Fristot
Publisher : CRC Press
Page : 352 pages
File Size : 45,9 Mb
Release : 2020-08-26
Category : Mathematics
ISBN : 9781000147995

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Tensors and the Clifford Algebra by Alphonse Charlier,Alain Berard,Marie-France Charlier,Daniele Fristot Pdf

This practical reference and text presents the applications of tensors, Lie groups and algebra to Maxwell, Klein-Gordon and Dirac equations, making elementary theoretical physics comprehensible and high-level theoretical physics accessible.;Providing the fundamental mathematics necessary to understand the applications, Tensors and the Clifford Algebra offers lucid discussions of covariant tensor calculus; examines subjects from a variety of perspectives; supplies highly detailed developments of all calculations; employs the language of physics in its explanations; and illustrates the use of Clifford algebra and tensor calculus in studying bosons and fermions.;With over 2800 display equations and 14 appendixes, this book should be a useful reference for mathematical physicists and applied mathematicians, and an important text for upper-level undergraduate and graduate students in quantum mechanics, relativity, electromagnetism, theoretical physics, elasticity and field theory courses.