Pioneers Of Representation Theory
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Pioneers Of Representation Theory
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Author : Charles W. Curtis
language : en
Publisher: American Mathematical Soc.
Release Date :
Pioneers Of Representation Theory written by Charles W. Curtis 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 with Mathematics categories.
The year 1897 was marked by two important mathematical events: the publication of the first paper on representations of finite groups by Ferdinand Georg Frobenius (1849-1917) and the appearance of the first treatise in English on the theory of finite groups by William Burnside (1852-1927). Burnside soon developed his own approach to representations of finite groups. In the next few years, working independently, Frobenius and Burnside explored the new subject and its applications to finite group theory. They were soon joined in this enterprise by Issai Schur (1875-1941) and some years later, by Richard Brauer (1901-1977). These mathematicians' pioneering research is the subject of this book. It presents an account of the early history of representation theory through an analysis of the published work of the principals and others with whom the principals' work was interwoven. Also included are biographical sketches and enough mathematics to enable readers to follow the development of the subject. An introductory chapter contains some of the results involving characters of finite abelian groups by Lagrange, Gauss, and Dirichlet, which were part of the mathematical tradition from which Frobenius drew his inspiration. This book presents the early history of an active branch of mathematics. It includes enough detail to enable readers to learn the mathematics along with the history. The volume would be a suitable text for a course on representations of finite groups, particularly one emphasizing an historical point of view. Co-published with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
Pioneers Of Representation Theory Frobenius Burnside Schur And Brauer
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Author : Charles W. Curtis
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Pioneers Of Representation Theory Frobenius Burnside Schur And Brauer written by Charles W. Curtis 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 1999 with Mathematics categories.
The AMS History of Mathematics series is one of the most popular items for bookstore sales. These books feature colorful, attractive covers that are perfect for face out displays. The topics will appeal to a broad audience in the mathematical and scientific communities.
Representations Of Finite Dimensional Algebras
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Author : Peter Gabriel
language : en
Publisher: Springer
Release Date : 1997
Representations Of Finite Dimensional Algebras written by Peter Gabriel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette
Special Issue On Representation Theory And Its Applications
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Author : Michael Butler
language : en
Publisher:
Release Date : 2005
Special Issue On Representation Theory And Its Applications written by Michael Butler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Introduction To Representation Theory
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Author : Pavel I. Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Introduction To Representation Theory written by Pavel I. Etingof 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 2011 with Mathematics categories.
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Papers In Representation Theory
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Author : Stephen S. Gelbart
language : en
Publisher:
Release Date : 1990
Papers In Representation Theory written by Stephen S. Gelbart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
A Unifying Approach To Representation Theory
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Author : Barbara Caldwell Brobeck
language : en
Publisher:
Release Date : 1964
A Unifying Approach To Representation Theory written by Barbara Caldwell Brobeck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Representations Of Finite Dimensional Algebras
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Author : Peter Gabriel
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-10-08
Representations Of Finite Dimensional Algebras written by Peter Gabriel 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 1992-10-08 with Mathematics categories.
From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette
Representation Theory Of Finite Groups
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Author : Benjamin Steinberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-23
Representation Theory Of Finite Groups written by Benjamin Steinberg 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 2011-10-23 with Mathematics categories.
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.
Representations Of Finite Dimensional Algebras
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Author : Peter Gabriel
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-09-12
Representations Of Finite Dimensional Algebras written by Peter Gabriel 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 1997-09-12 with Mathematics categories.
From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette