The Mathematics Of Frobenius In Context
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Author | : Thomas Hawkins |
Publisher | : Springer Science & Business Media |
Total Pages | : 698 |
Release | : 2013-07-23 |
Genre | : Mathematics |
ISBN | : 1461463335 |
Download The Mathematics of Frobenius in Context Book in PDF, Epub and Kindle
Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Author | : Charles W. Curtis |
Publisher | : American Mathematical Soc. |
Total Pages | : 308 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821826778 |
Download Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer Book in PDF, Epub and Kindle
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.
Author | : Joachim Kock |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780521540315 |
Download Frobenius Algebras and 2-D Topological Quantum Field Theories Book in PDF, Epub and Kindle
This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work.
Author | : Stephen Boyd |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2018-06-07 |
Genre | : Business & Economics |
ISBN | : 1316518965 |
Download Introduction to Applied Linear Algebra Book in PDF, Epub and Kindle
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author | : Thomas Hawkins |
Publisher | : Springer Science & Business Media |
Total Pages | : 578 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461212022 |
Download Emergence of the Theory of Lie Groups Book in PDF, Epub and Kindle
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.
Author | : Bas Lemmens |
Publisher | : Cambridge University Press |
Total Pages | : 337 |
Release | : 2012-05-03 |
Genre | : Mathematics |
ISBN | : 0521898811 |
Download Nonlinear Perron-Frobenius Theory Book in PDF, Epub and Kindle
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Author | : Emily Riehl |
Publisher | : Courier Dover Publications |
Total Pages | : 273 |
Release | : 2017-03-09 |
Genre | : Mathematics |
ISBN | : 0486820807 |
Download Category Theory in Context Book in PDF, Epub and Kindle
Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Author | : Shlomo Sternberg |
Publisher | : Courier Corporation |
Total Pages | : 418 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 0486292711 |
Download Curvature in Mathematics and Physics Book in PDF, Epub and Kindle
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
Author | : Kenneth W. Johnson |
Publisher | : Springer Nature |
Total Pages | : 384 |
Release | : 2019-11-08 |
Genre | : Mathematics |
ISBN | : 3030283003 |
Download Group Matrices, Group Determinants and Representation Theory Book in PDF, Epub and Kindle
This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.
Author | : Lluís Puig |
Publisher | : Birkhäuser |
Total Pages | : 498 |
Release | : 2009-08-29 |
Genre | : Mathematics |
ISBN | : 9783034600156 |
Download Frobenius Categories versus Brauer Blocks Book in PDF, Epub and Kindle
This book contributes to important questions in modern representation theory of finite groups. It introduces and develops the abstract setting of the Frobenius categories and gives the application of the abstract setting to the blocks.