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Frobenius Splitting Methods in Geometry and Representation Theory Michel Brion

Frobenius Splitting Methods in Geometry and Representation Theory By Michel Brion

Frobenius Splitting Methods in Geometry and Representation Theory by Michel Brion


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Summary

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This book systematically develops the theory and covers its major developments. It is suitable for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.

Frobenius Splitting Methods in Geometry and Representation Theory Summary

Frobenius Splitting Methods in Geometry and Representation Theory by Michel Brion

Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings-definitions, properties and examples-to cutting edge research.

Frobenius Splitting Methods in Geometry and Representation Theory Reviews

From the reviews:

"The present momgraphy is the first exposition in book form of this theory and of its major applications. Each section of the book is complemented with exerices; each chapter ends with useful comments, and open problems are suggested throughout. The book leads clearly and rapidly an interested reader from basic results to the research level." ---Zentralblatt MATH

"The book is an excellent source for getting familiar with the recent developments in geometric and representation theoretic questions in the theory of algebraic groups, mainly in characteristic p." ---Monatshefte fur Mathematik

This is a truly fantastic book. It is the first comprehensive text on Frobenius splitting and its applications to geometry and representation theory. If this was a one-paragraph review, I would say buy the book, study it carefully and then apply the contents to a research project. The readers (and the reviewer) are in the authorsdebt.(MATHEMATICAL REVIEWS)

Table of Contents

Frobenius Splitting: General Theory.- Frobenius Splitting of Schubert Varieties.- Cohomology and Geometry of Schubert Varieties.- Canonical Splitting and Good Filtration.- Cotangent Bundles of Flag Varieties.- Equivariant Embeddings of Reductive Groups.- Hilbert Schemes of Points on Surfaces.

Additional information

NPB9780817641917
9780817641917
0817641912
Frobenius Splitting Methods in Geometry and Representation Theory by Michel Brion
New
Hardback
Birkhauser Boston Inc
2004-12-10
250
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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