06086 - Lectures on Lie Groups and Lie Algebras [Carter-Segal-MacDonald].pdf

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LONDON MATHEMATICAL SOCIETY STUDENT TEXTS
Managing editor: Dr C.M. Series, Mathematics Institute
University of Warwick, Coventry CV4 7AL, United Kingdom
1
Introduction to combinators and .-calculus, J.R. HINDLEY & J.P. SELDIN
Building models by games, WILFRID HODGES
2
3
Local fields, J.W.S. CASSELS
4 An introduction to twistor theory: Second edition, S.A. HUGGETT & K.P. TOD
5
Introduction to general relativity, L.P. HUGHSTON & K.P. 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, C.M. GOLDIE & R.G.E. PINCH
21 Representations of finite groups of Lie type, FRANQOIS 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, BIRGER IVERSEN
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
32 Lectures on Lie Groups and Lie Algebras, R. CARTER, G. SEGAL & I. MACDONALD
London Mathematical Society Student Texts 32
Lectures on Lie Groups
and Lie Algebras
Roger Carter
University of Warwick
Graeme Segal
University of Cambridge
Ian Macdonald
Queen Mary and Westfield College, London
CAMBRIDGE
UNIVERSITY PRESS
Published by the Press Syndicate of the University of Cambridge
The Pitt Building, Trumpington Street, Cambridge CB2 1RP
40 West 20th Street, New York, NY 10011-4211, USA
10 Stamford Road, Oakleigh, Melbourne 3166, Australia
© Cambridge University Press 1995
First published 1995
Printed in Great Britain at the University Press, Cambridge
A catalogue record for this book is available from the British Library
Library of Congress cataloging in publication data available
ISBN 0 521 49579 2 hardback
ISBN 0 521 49922 4 paperback
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