Description 
1 online resource : illustrations 
Series 
Algebra, logic, and applications, 10415394 ; volume 8 

Algebra, logic, and applications ; v. 8

Contents 
Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; 1: Partitions; Applications to Graphs; Exercises; 2: Inner Product Spaces; Application to Graphs; Exercises; 3: Permutation Groups; Applications to Symmetry; Exercises; 4: Group Representation Theory; Exercises; 5: Tensor Spaces; Exercises; 6: Symmetry Classes of Tensors; Applications to the Theory of Enumeration; The Enumeration of Graphs; Application to NMR Spectroscopy; Exercises; 7: Generalized Matrix Functions; An Excursion into Invariant Theory; Applications to Graphs; Exercises 

8: The Rational Representations of GL(n, C)Application to Graphs; Exercises; Index of Notation; References; Index 
Summary 
"The prototypical multilinear operation is multiplication. Indeed, every multilinear mapping can be factored through a tensor product. Apart from its intrinsic interest, the tensor product is of fundamental importance in a variety of disciplines, ranging from matrix inequalities and group representation theory, to the combinatorics of symmetric functions, and all these subjects appear in this book. Another attraction of multilinear algebra lies in its power to unify such seemingly diverse topics. This is done in the final chapter by means of the rational representations of the full linear group. Arising as characters of these representations, the classical Schur polynomials are one of the keys to unification. Prerequisites for the book are minimized by selfcontained introductions in the early chapters. Throughout the text, some of the easier proofs are left to the exercises, and some of the more difficult ones to the references."Provided by publisher 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (EBSCO, viewed May 23, 2018) 
Subject 
Multilinear algebra

Form 
Electronic book

ISBN 
1498714900 

9781498714907 
