Frobenius Splitting Methods in Geometry and Representation Theory - (Progress in Mathematics) by Michel Brion & Shrawan Kumar (Hardcover)
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<p/><br></br><p><b> Book Synopsis </b></p></br></br><p>Systematically develops the theory of Frobenius splittings and covers all its major developments. </p> <p>Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings-definitions, properties and examples-to cutting edge research.</p><p/><br></br><p><b> From the Back Cover </b></p></br></br><p>The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments.</p> <p></p> <p>Key features: </p> <p></p> <p>* Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings--definitions, properties and examples--to cutting edge research</p> <p>* Studies in detail the geometry of Schubert varieties, their syzygies, equivariant embeddings of reductive groups, Hilbert Schemes, canonical splittings, good filtrations, among other topics</p> <p>* Applies Frobenius splitting methods to algebraic geometry and various problems in representation theory</p> <p>* Many examples, exercises, and open problems suggested throughout</p> <p>* Comprehensive bibliography and index </p> <p></p> <p>This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.</p><p/><br></br><p><b> Review Quotes </b></p></br></br><br><p>From the reviews: </p> <p>"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." <strong>---Zentralblatt MATH</strong></p> <p>"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." ---<strong>Monatshefte für Mathematik</strong></p> <p>"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 authors'debt."(MATHEMATICAL REVIEWS)</p><br>
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