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Differential Tensor Algebras and their Module Categories
Paperback
Series: London Mathematical Society Lecture Note, Book 362
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ISBN10: 0521757681
ISBN13: 9780521757683
Publisher: Cambridge University Press
Published: Sep 17 2009
Pages: 462
Weight: 1.45
Height: 1.20 Width: 5.90 Depth: 8.80
Language: English
ISBN13: 9780521757683
Publisher: Cambridge University Press
Published: Sep 17 2009
Pages: 462
Weight: 1.45
Height: 1.20 Width: 5.90 Depth: 8.80
Language: English
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.
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