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Book Cover
Author Merris, Russell, 1943- author.

Title Multilinear algebra / Russell Merris, California State University, Hayward, USA
Published Boca Raton : CRC Press, [1997]
Online access available from:
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Description 1 online resource : illustrations
Series Algebra, logic, and applications, 1041-5394 ; 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 self-contained 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