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.
Multilinear Algebra Ebook
By: Russell Merris
Publisher:
routledge
Print ISBN: 9789056990787, 9056990780
eText ISBN: 9781498714907, 1498714900
Edition: 1st
Copyright year: 1997
Format: PDF
Available from $ 23.18 USD
SKU: 9781498714907R90
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