Multilinear Algebra

The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate students.

D. G. Northcott (Author)

9780521090605, Cambridge University Press

Paperback / softback, published 18 January 2009

216 pages
22.9 x 15.2 x 1.2 cm, 0.32 kg

Multilinear algebra has important applications in many different areas of mathematics but is usually learned in a rather haphazard fashion. The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate students. Professor Northcott gives a thorough treatment of topics such as tensor, exterior, Grassmann, Hopf and co-algebras and ends each chapter with a section entitled 'Comments and Exercises'. The comments contain convenient summaries and discussion of the content whilst the exercises provide an opportunity to test understanding and add extra material. Complete solutions are provided for those exercises that are particularly important or used later in the book. The volume as a whole is based on advanced lectures given by the author at the University of Sheffield.

1. Multilinear mappings
2. Some properties of tensor products
3. Associative algebras
4. The tensor algebra of a module
5. The exterior algebra of a module
6. The symmetric algebra of a module
7. Coalgebras and Hopf algebras
8. Graded duality.

Subject Areas: Algebra [PBF]