Differential Tensor Algebras and their Module Categories (London Mathematical Society Lecture Note Series, Series Number 362) - Softcover

Bautista, R.

Softcover

ISBN 10: 0521757681 ISBN 13: 9780521757683

Publisher: Cambridge University Press, 2009

Synopsis

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.

About this title

About the Authors

R. Bautista is a Professor in the Institute of Mathematics at the National University of Mexico, Morelia.

L. Salmerón 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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 0521757681
• ISBN 13: 9780521757683
• Binding: Paperback
• Edition number: 1
• Number of pages: 464