LONDON MATHEMATICAL SOCIETY STUDENT TEXTS
Managing Editor: C. M. SERIES, Mathematics Institute, University of Warwick, Coventry
CV4 7AL, United Kingdom
1 Introduction to combinators and A-calculus, J.R. HINDLEY & J.R SELDIN
2 Building models by games, WILFRID HODGES
3 Local fields, J.WS. CASSELS
4 An introduction to twistor theory: 2nd edition, S A. HUGGETT & K.R TOD
5 Introduction to general relativity, L.R HUGHSTON & K.R TOD
6 Lectures on stochastic analysis: diffusion theory, DANIEL W. STROOCK
7 The theory of evolution and dynamical systems, J. HOFBAUER & K. SIGMUND
8 Summing and nuclear norms in Banach space theory, G.J.O. JAMESON
9 Automorphisms of surfaces after Nielsen and Thurston, A. CASSON &
S. BLEILER
10 Nonstandard analysis and its applications, N. CUTLAND (ed)
11 Spacetime and singularities, G. NABER
12 Undergraduate algebraic geometry, MILES REID
13 An introduction to Hankel operators, J.R. PARTINGTON
14 Combinatorial group theory: a topological approach, DANIEL E. COHEN
15 Presentations of groups, D.L. JOHNSON
16 An introduction to noncommutative Noetherian rings,
K.R. GOODEARL & R.B. WARFIELD, JR.
17 Aspects of quantum field theory in curved spacetime, S.A. FULLING
18 Braids and coverings: selected topics, VAGN LUNDSGAARD HANSEN
19 Steps in commutative algebra, R.Y. SHARP
20 Communication theory, CM. GOLDIE & R.G.E. PINCH
21 Representations of finite groups of Lie type, FRANCOIS DIGNE & JEAN MICHEL
22 Designs, graphs, codes, and their links, P.J. CAMERON & J.H. VAN LINT
23 Complex algebraic curves, FRANCES KIRWAN
24 Lectures on elliptic curves, J.W.S. CASSELS
25 Hyperbolic geometry, BIRGERIVERSEN
26 An introduction to the theory of L-functions and Eisenstein series, H. HIDA
27 Hilbert space: compact operators and the trace theorem, J.R. RETHERFORD
28 Potential theory in the complex plane, T. RANSFORD
29 Undergraduate commutative algebra, M. REID
30 Introduction to computer algebra, A. COHEN
31 Complex algebraic surfaces, A. BEAUVILLE
32 Lectures on Lie groups and Lie algebras, R. CARTER, G. SEGAL &
I. MACDONALD
33 A primer of algebraic D-modules, S.C COUTINHO
34 Laplacian operators in differential geometry, S. ROSENBERG
35 Young tableaux, W. FULTON
Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
,Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
, London Mathematical Society Student Texts 35
Young Tableaux
With Applications to Representation Theory
and Geometry
William Fulton
Department of Mathematics
University of Michigan
CAMBRIDGE
UNIVERSITY PRESS
Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
, PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE
The Pitt Building, Trumpington Street, Cambridge, United Kingdom
CAMBRIDGE UNIVERSITY PRESS
The Edinburgh Building, Cambridge CB2 2RU, UK http: //www.cup.cam.ac.uk
40 West 20th Street, New York, NY 10011-4211, USA http: //www.cup.org
10 Stamford Road, Oakleigh, Melbourne 3166, Australia
© Cambridge University Press 1997
This book is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without
the written permission of Cambridge University Press.
First published 1997
Reprinted 1999 (with corrections)
Typeset in Times Roman 11/14 pt. L£TEX 2£ [TB]
A catalog record for this book is available from the British Library.
Library of Congress Cataloging-in-Publication Data
Fulton, William, 1939-
Young tableaux : with applications to representation theory
and geometry / William Fulton.
p. cm. - (London Mathematical Society student texts : 35)
Includes bibliographical references and indexes.
1. Young tableaux. I. Title. II. Series. 95-47484
QA165.F83 1997 CIP
512'.2-dc20
ISBN 0 521 56144 2 hardback
ISBN 0 521 56724 6 paperback
Transferred to digital printing 2003
Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
Managing Editor: C. M. SERIES, Mathematics Institute, University of Warwick, Coventry
CV4 7AL, United Kingdom
1 Introduction to combinators and A-calculus, J.R. HINDLEY & J.R SELDIN
2 Building models by games, WILFRID HODGES
3 Local fields, J.WS. CASSELS
4 An introduction to twistor theory: 2nd edition, S A. HUGGETT & K.R TOD
5 Introduction to general relativity, L.R HUGHSTON & K.R TOD
6 Lectures on stochastic analysis: diffusion theory, DANIEL W. STROOCK
7 The theory of evolution and dynamical systems, J. HOFBAUER & K. SIGMUND
8 Summing and nuclear norms in Banach space theory, G.J.O. JAMESON
9 Automorphisms of surfaces after Nielsen and Thurston, A. CASSON &
S. BLEILER
10 Nonstandard analysis and its applications, N. CUTLAND (ed)
11 Spacetime and singularities, G. NABER
12 Undergraduate algebraic geometry, MILES REID
13 An introduction to Hankel operators, J.R. PARTINGTON
14 Combinatorial group theory: a topological approach, DANIEL E. COHEN
15 Presentations of groups, D.L. JOHNSON
16 An introduction to noncommutative Noetherian rings,
K.R. GOODEARL & R.B. WARFIELD, JR.
17 Aspects of quantum field theory in curved spacetime, S.A. FULLING
18 Braids and coverings: selected topics, VAGN LUNDSGAARD HANSEN
19 Steps in commutative algebra, R.Y. SHARP
20 Communication theory, CM. GOLDIE & R.G.E. PINCH
21 Representations of finite groups of Lie type, FRANCOIS DIGNE & JEAN MICHEL
22 Designs, graphs, codes, and their links, P.J. CAMERON & J.H. VAN LINT
23 Complex algebraic curves, FRANCES KIRWAN
24 Lectures on elliptic curves, J.W.S. CASSELS
25 Hyperbolic geometry, BIRGERIVERSEN
26 An introduction to the theory of L-functions and Eisenstein series, H. HIDA
27 Hilbert space: compact operators and the trace theorem, J.R. RETHERFORD
28 Potential theory in the complex plane, T. RANSFORD
29 Undergraduate commutative algebra, M. REID
30 Introduction to computer algebra, A. COHEN
31 Complex algebraic surfaces, A. BEAUVILLE
32 Lectures on Lie groups and Lie algebras, R. CARTER, G. SEGAL &
I. MACDONALD
33 A primer of algebraic D-modules, S.C COUTINHO
34 Laplacian operators in differential geometry, S. ROSENBERG
35 Young tableaux, W. FULTON
Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
,Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
, London Mathematical Society Student Texts 35
Young Tableaux
With Applications to Representation Theory
and Geometry
William Fulton
Department of Mathematics
University of Michigan
CAMBRIDGE
UNIVERSITY PRESS
Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
, PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE
The Pitt Building, Trumpington Street, Cambridge, United Kingdom
CAMBRIDGE UNIVERSITY PRESS
The Edinburgh Building, Cambridge CB2 2RU, UK http: //www.cup.cam.ac.uk
40 West 20th Street, New York, NY 10011-4211, USA http: //www.cup.org
10 Stamford Road, Oakleigh, Melbourne 3166, Australia
© Cambridge University Press 1997
This book is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without
the written permission of Cambridge University Press.
First published 1997
Reprinted 1999 (with corrections)
Typeset in Times Roman 11/14 pt. L£TEX 2£ [TB]
A catalog record for this book is available from the British Library.
Library of Congress Cataloging-in-Publication Data
Fulton, William, 1939-
Young tableaux : with applications to representation theory
and geometry / William Fulton.
p. cm. - (London Mathematical Society student texts : 35)
Includes bibliographical references and indexes.
1. Young tableaux. I. Title. II. Series. 95-47484
QA165.F83 1997 CIP
512'.2-dc20
ISBN 0 521 56144 2 hardback
ISBN 0 521 56724 6 paperback
Transferred to digital printing 2003
Downloaded from https://www.cambridge.org/core. University of Sussex Library, on 10 Jul 2018 at 00:28:19, subject to the Cambridge Core
Cambridge Books Online © https://doi.org/10.1017/CBO9780511626241
terms of use, available at https://www.cambridge.org/core/terms. Cambridge University Press, 2010
