Progress in Mathematics Volume 231
Series Editors Hyman Bass Joseph Oesterle´ Alan Weinstein Michel Brion Shrawan Kumar
Frobenius Splitting Methods in Geometry and Representation Theory
Birkhauser¨ Boston • Basel • Berlin Michel Brion Shrawan Kumar UniversiteG´ renoble1–CNRS University of North Carolina Institut Fourier Department of Mathematics 38402 St.-Martin d’Heres` Cedex Chapel Hill, NC 27599 France U.S.A.
AMS Subject Classifications: 13A35, 13D02, 14C05, 14E15, 14F10, 14F17, 14L30, 14M05, 14M15, 14M17, 14M25, 16S37, 17B10, 17B20, 17B45, 20G05, 20G15
Library of Congress Cataloging-in-Publication Data Brion, Michel, 1958- Frobenius splitting methods in geometry and representation theory / Michel Brion, Shrawan Kumar. p. cm. – (Progress in mathematics ; v. 231) Includes bibliographical references and index. ISBN 0-8176-4191-2 (alk. paper) 1. Algebraic varieties. 2. Frobenius algebras. 3. Representations of groups. I. Kumar, S. (Shrawan), 1953- II. Title. III. Progress in mathematics (Boston, Mass.); v. 231.
QA564.B74 2004 516’.3’53–dc22 2004047645
ISBN 0-8176-4191-2 Printed on acid-free paper.