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Representations of Finite-Dimensional Algebras Peter Gabriel

Representations of Finite-Dimensional Algebras By Peter Gabriel

Representations of Finite-Dimensional Algebras by Peter Gabriel

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Summary

[Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature.

Representations of Finite-Dimensional Algebras Summary

Representations of Finite-Dimensional Algebras by Peter Gabriel

From the reviews: ... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ... --The Mathematical Gazette

Representations of Finite-Dimensional Algebras Reviews

From the reviews: ... They (Gabriel and Roiter) are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ... The Mathematical Gazette, 1993 ... The standard of this text is high and will be definitely appreciated by the algebraic community. Monatshefte Mathematik, 1994 ..This book is very welcome because it presents some basic material and at the same time it presents some new insights of the theory. ... Zentralblatt fur Mathematik, 1996

Table of Contents

1. Matrix Problems.- 2. Algebras, Modules and Categories.- 3. Radical, Decomposition, Aggregates.- 4. Finitely Spaced Modules.- 5. Finitely Represented Posets.- 6. Roots.- 7. Representations of Quivers.- 8. Spectroids, Quivers, Coherence.- 9. Almost Split Sequences.- 10. Postprojective Components.- 11. Representations of Tame Quivers.- 12. Derivation and Tilting (by B. Keller).- 13. Multiplicative Bases.- 14. Finitely Represented Algebras.- List of Symbols.

Additional information

NLS9783540629900
9783540629900
3540629904
Representations of Finite-Dimensional Algebras by Peter Gabriel
Peter Gabriel
Encyclopaedia of Mathematical Sciences
New
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
1997-09-12
177
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Representations of Finite-Dimensional Algebras