This book is an introduction to Hopf algebras in braided monoidal categories with applications to Hopf algebras in the usual sense. The main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and the surprising relationship between Nichols algebras and generalized root systems. In general, Nichols algebras are not classified by Cartan graphs and their root systems. However, extending partial results in the literature, the authors were able to associate a Cartan graph to a large class of Nichols algebras. This allows them to determine the structure of right coideal subalgebras of Nichols systems which generalize Nichols algebras. As applications of these results, the book contains a classification of right coideal subalgebras of quantum groups and of the small quantum groups, and a proof of the existence of PBW-bases that does not involve case by case considerations. The authors also include short chapter summaries at the beginning of each chapter and historical notes at the end of each chapter. The theory of Cartan graphs, Weyl groupoids, and generalized root systems appears here for the first time in a book form. Hence, the book serves as an introduction to the modern classification theory of pointed Hopf algebras for advanced graduate students and researchers working in categorial aspects and classification theory of Hopf algebras and their generalization.

An intimate relation between hormones and lipoprotein metabolism has been known for a long time especially from hormone-deficiency or -overproduction syndromes. The mechanisms through which hormones influence lipid metabolism have become a field of major interest in sci ence. The more we learn about cellular hormonal actions the better we understand regulatory processes and phenomena occuring in patients. The present book summarizes data discussed at an International Meet ing at Marburg, Germany, on "Hormones in Lipoprotein Metabolism". It was an attempt to pull together knowledge in basic science from the mode of action of hormones all the way to clinical appearance of hor monal disorders involving lipoprotein metabolism. Thus data on molec ular biology, on hormonal regulation of apolipoprotein synthesis, on lipoprotein receptors and enzyme induction are discussed together with the large field of oral contraceptive use, postmenopausal estrogen sub stitution, lipid disorders in diabetes mellitus, in thyroid dysfunction, in adrenal insufficiency and in glucocorticoid application. We are aware of the fact that such an overview cannot be complete but should serve as a collection of data and ideas for those interested in hormonal regulation of lipid metabolism. We thank all authors for taking an extra effort in writing up their presentations and thus making this edition possible. We also thank Bristol-Myers-Squibb for generous support of the meeting and of the final publication. Marburg, Germany ARMIN STEINMETZ JURGEN SCHNEIDER HANS KAFFARNIK Contents Molecular Biology Chairmen: D. J. Rader, A.

Yamaha ist neben Honda der erfolgreichste Motorradhersteller der Welt. Allein in Deutschland rollen mehr als eine halbe Million Fahrzeuge mit dem Emblem der gekreuzten Stimmgabeln, das auf die Anfangszeit der Firma im 19. Jahrhundert als Klavierhersteller zurückgeht. Das vorliegende Buch beschreibt die spannende Geschichte der Yamaha-Motorräder, -Roller und -Leichtkrafträder von 1955 bis heute. Es präsentiert alle wichtigen Modelle, interessante Spezialitäten, Studien und Prototypen. Fans der Marke finden die berühmten luftgekühlten Zweitakter bis 1980 ebenso wie die modernen mit Flüssigkühlung; alle Chopper und Cruiser, die legendären Straßenviertakter sowie die aktuellen YZF-Straßensportmodelle. Auch die Enduros werden vorgestellt, ebenso Big-Bikes aller Epochen, aber auch viele Mopeds, Leichtkrafträder und Roller. Spezielle Kapitel behandeln die Entwicklung der Cross- und Trial-Modelle und Yamahas ruhmreiche Grand-Prix-Geschichte. Zusätzlich bietet dieses Standardwerk die technischen Daten aller wichtigen Yamaha-Serienmodelle und eine Auflistung der Rennsporterfolge.

This volume presents the proceedings from the Colloquium on Quantum Groups and Hopf Algebras held in Cordoba (Argentina) in 1999. The meeting brought together researchers who discussed recent developments in Hopf algebras, one of the most important being the influence of quantum groups. Articles offer introductory expositions and surveys on topics of current interest that, to date, have not been available in the current literature. Surveys are included on characteristics of Hopf algebras and their generalizations, biFrobenius algebras, braided Hopf algebras, inner actions and Galois theory, face algebras, and infinitesimal Hopf algebras. The following topics are also covered: existence of integrals, classification of semisimple and pointed Hopf algebras, *-Hopf algebras, dendriform algebras, etc. Non-classical topics are also included, reflecting its applications both inside and outside the theory.