Introduction To The Theory Of Formal Groups
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Introduction To The Theory Of Formal Groups
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Author : Jean A. Dieudonne
language : en
Publisher: CRC Press
Release Date : 2020-01-29
Introduction To The Theory Of Formal Groups written by Jean A. Dieudonne and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Mathematics categories.
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).
Introduction To The Theory Of Formal Groups
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Author : Jean Alexandre Dieudonné
language : en
Publisher:
Release Date : 1973
Introduction To The Theory Of Formal Groups written by Jean Alexandre Dieudonné and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Formal Groups And Applications
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Author : Michiel Hazewinkel
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Formal Groups And Applications written by Michiel Hazewinkel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
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.
An Introduction To The Theory Of Groups
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Author : Paul Alexandroff
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24
An Introduction To The Theory Of Groups written by Paul Alexandroff and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.
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.
An Introduction To The Theory Of Groups
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Author : Joseph J. Rotman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To The Theory Of Groups written by Joseph J. Rotman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
Introduction To Group Theory
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Author : Oleg Vladimirovič Bogopolʹskij
language : en
Publisher: European Mathematical Society
Release Date : 2008
Introduction To Group Theory written by Oleg Vladimirovič Bogopolʹskij and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
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.
Group Actions On Rings
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Author : Susan Montgomery
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Group Actions On Rings written by Susan Montgomery and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
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.
Introductory Theory Of Topological Vector Spates
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Author : Yau-Chuen Wong
language : en
Publisher: CRC Press
Release Date : 1992-08-25
Introductory Theory Of Topological Vector Spates written by Yau-Chuen Wong and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-25 with Mathematics categories.
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.
Brauer Groups And The Cohomology Of Graded Rings
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Author : Stefaan Caenepeel
language : en
Publisher: CRC Press
Release Date : 2020-08-27
Brauer Groups And The Cohomology Of Graded Rings written by Stefaan Caenepeel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-27 with Mathematics categories.
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.
The Theory Of Groups
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Author : Joseph J. Rotman
language : en
Publisher:
Release Date : 1965
The Theory Of Groups written by Joseph J. Rotman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Group theory categories.