This volume provides a systematic presentation of the theory of differential tensor algebras and their categories of modules. It involves reduction techniques which have proved to be very useful in the development of representation theory of finite dimensional algebras. The main results obtained with these methods are presented in an elementary and self contained way. The authors provide a fresh point of view of well known facts on tame and wild differential tensor algebras, on tame and wild algebras, and on their modules. But there are also some new results and some new proofs. Their approach presents a formal alternative to the use of bocses (bimodules over categories with coalgebra structure) with underlying additive categories and pull-back reduction constructions. Professional mathematicians working in representation theory and related fields, and graduate students interested in homological algebra will find much of interest in this book.

A detailed account of main results in the theory of differential tensor algebras.

About the Author
R. Bautista is a Professor in the Institute of Mathematics at the National University of Mexico, Morelia. L. Salmeron is a Professor in the Institute of Mathematics at the National University of Mexico, Morelia. R. Zuazua is a Professor in the Mathematics Department of the Faculty of Sciences at the National University of Mexico, Mexico City.

Reviews
'The authors provide all minute details of every proof. the work is a remarkable example of what the reviewer would call 'open source' mathematics. In addition, they include numerous historical references ... Many sections of the book exercises, and solutions to some of those can be found in the last section.' Alex Martinskovsky, Mathematical Reviews



Book Information
ISBN 9780521757683
Author R. Bautista
Format Paperback
Page Count 462
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 650g
Dimensions(mm) 227mm * 152mm * 20mm