Harm Derksen's Books

Computational Invariant Theory

By: Harm Derksen,Gregor Kemper

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Computational Invariant Theory

By: Harm Derksen,Gregor Kemper

This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

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Page Count

272

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662049589

ISBN 13

9783662049587

An Introduction to Quiver Representations

By: Harm Derksen,Jerzy Weyman

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An Introduction to Quiver Representations

By: Harm Derksen,Jerzy Weyman

This book is an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The material in the opening chapters is developed starting slowly with topics such as homological algebra, Morita equivalence, and Gabriel's theorem. Next, the book presents Auslander-Reiten theory, including almost split sequences and the Auslander-Reiten transform, and gives a proof of Kac's generalization of Gabriel's theorem. Once this basic material is established, the book goes on with developing the geometric invariant theory of quiver representations. The book features the exposition of the saturation theorem for semi-invariants of quiver representations and its application to Littlewood-Richardson coefficients. In the final chapters, the book exposes tilting modules, exceptional sequences and a connection to cluster categories. The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout the text. The book will also be of use to experts in such areas as representation theory, invariant theory and algebraic geometry, who want to learn about applications of quiver representations to their fields.

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Page Count

346

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470425564

ISBN 13

9781470425562

A Basic Guide to International Business Law

By: Harm Wevers

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A Basic Guide to International Business Law

By: Harm Wevers

A Basic Guide to International Business Law is an introduction to those parts of European and international law that are relevant to business. Having read this book, students will come away with a broad understanding of the international rules of law within the EEC, institutional rules of the European Union, international contract law, rules of competition and the four freedoms within the EEC. The edition includes student friendly features, such as summaries of statements and references to relevant case law, making the book an ideal introduction for those on law and/or business programmes.

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