Expository Lecture s from th e N S F - C B M S Regiona l Conferenc e held a t DePau l University , Chicag o August 10-14 , 199 2 Research partiall y supporte d b y th e National Scienc e Foundatio n Grant s DM S 911440 3 an d DM S 9203375 . 2000 Mathematics Subject Classification. Primar y 16W30 , 16S40 Secondary 17B35 , 20G99 , 14L99 . Library o f Congres s Cataloging-in-Publicatio n Dat a Montgomery, Susan . Hopf algebra s an d their actions o n rings / Susa n Montgomery , p. cm . (Regiona l conferenc e serie s i n mathematics no . 82 ) "Expanded version of ten lecture s given at th e CBM S Conferenc e o n Hop f Algebras an d Thei r Actions o n Rings , whic h took plac e a t DePau l Universit y i n Chicago , Augus t 10-14 , 1992"-Pref . Includes bibliographica l reference s an d index . ISBN 0-8218-0738- 2 1. Hop f algebras—Congresses . 2 . Associativ e rings—Congresses . I . CBM S Conferenc e o n Hopf Algebra s an d Thei r Actions o n Ring s (1992 : DePau l University ) II . Title . III . Series . QA613.8.M66 93-2578 6 CIP Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them, ar e permitted t o mak e fair us e of the material , suc h a s to cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s from thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f the sourc e i s given . Republication, systemati c copying, o r multiple reproduction of any material i n this publicatio n is permitte d onl y unde r licens e from th e America n Mathematica l Society . Request s fo r suc h permission shoul d b e addressed to the Acquisitions Department , America n Mathematica l Society , 201 Charle s Street , Providence , Rhod e Islan d 02904-229 4 USA . Request s ca n als o b e mad e b y e-mail t o reprint-permissionQams.org . © Copyrigh t 199 3 by th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n the Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-free an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . This volum e wa s printed directl y from cop y prepare d b y th e autho r usin g Aji^S-WT^i, the America n Mathematica l Society' s T${ macr o system . Visit th e AM S hom e pag e a t http : //www. ams. org/ 10 9 8 7 6 5 4 1 4 1 3 1 2 1 1 1 0 0 9
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