06029 - Abelian Groups and Representations of Finite Partially Ordered Sets [Arnold D.].pdf

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Canadian Mathematical Society
Societe
mathematique
du Canada
Editors-in-Chief
Ridaaeurs-en-chef
Jonathan M. Borwein
Peter Borwein
Springer
New York
Berlin
Heidelberg
Barcelona
Hong Kong
London
Milan
Paris
Singapore
Tokyo
CMS Books in Mathematics
Ouvfages de mathematiques de
10
SMC
1
2
3
4
5
6
HERMAN/KuCERAI$IMSA Equations and Inequalities
ARNOLD Abelian Groups and Representations of Finite Partially Ordered Sets
BORWEIN/LEWIS ConvexAnalysis and Nonlinear Optimization
LEVIN/LuBINSKY Orthogonal Polynomials for Exponential Weights
KANE Reflection Groups and Invariant Theory
PHILLIPS Two Millennia of Mathematics: From Archimedes to Gauss
David M. Arnold
Abelian Groups and
Representations of
Finite Partially
Ordered Sets
Springer
David M. Arnold
Department of Mathematics
Baylor University
Waco, TX 76798-7328
USA
Editors-in-Chief
Redacteurs-en-chef
Jonathan M. Borwein
Peter Borwein
Centre for Experimental and Constructive Mathematics
Department of Mathematics and Statistics
Simon Fraser University
Burnaby, British Columbia V5A IS6
Canada
Mathematics Subject Classification (2000) : 16G20, 20Kxx
Library of Congress Cataloging-in-Publication Data
Arnold, David M.
Abelian groups and representations of finite partially ordered sets
I
David M. Arnold .
p. em. - (CMS books in mathematics)
Includes bibliographical references and indexes .
ISBN 0-387-98982-X (hardcover : alk. paper)
1. Abelian groups . 2. Partially ordered sets. I. Title. II. Series.
QAI80 .A76 2000
512'.2-dc21
99-087081
Printed on acid-free paper.
© 2000 Springer-Verlag New York, Inc.
All rights reserved . This work may not be translated or copied in whole or in part without the
written permission of the publisher (Springer-Verlag New York. Inc., 175 Fifth Avenue, New York,
NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis . Use
in connection with any form of information storage and retrieval, electronic adaptation, computer
software, or by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use of general descriptive names, trade names. trademarks. etc., in this publication . even if the
former are not especially identified. is not to be taken as a sign that such names, as understood by
the Trade Marks and Merchandise Marks Act. may accordingly be used freely by anyone.
Production managed by Michael Koy; manufacturing supervised by Jeffrey Taub.
Typeset by Techlsooks, Fairfax. VA.
Printed and bound by Edwards Brothers, Inc., Ann Arbor. MI.
Printed in the United States of America.
9 8 765 432 I
ISBN 0-387-98982-X Springer -Verlag New York Berlin Heidelberg
SPIN 10751459

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