New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999
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書誌事項
New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999
（Contemporary mathematics, v. 267）
American Mathematical Society, c2000
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Includes bibliographical references
内容説明・目次
内容説明
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 of this title 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 in this title: 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.
目次
Infinitesimal Hopf algebras by M. Aguiar Modules over weak entwining structures by S. Caenepeel and E. De Groot On generalized characters by M. Cohen BiFrobenius algebras by Y. Doi and M. Takeuchi Integrable models and star structures by A. Garcia and R. Trinchero On Nichols algebras of low dimension by M. Grana A generalization of crossed products by J. A. Guccione and J. J. Guccione A brief introduction to face algebras by T. Hayashi On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras by L. H. Kauffman and D. E. Radford Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension by A. Masuoka Pointed indecomposable Hopf algebras over Coxeter groups by A. Milinski and H.-J. Schneider A duality theorem for quantum groupoids by D. Nikshych Primitive elements in a free dendriform algebra by M. Ronco On operator representations of $U_q(isl(2,\mathbb{R}))$ by S. Sachse Duals and doubles of quantum groupoids ($\times_R$-Hopf algebras) by P. Schauenburg Survey of braided Hopf algebras by M. Takeuchi Inner and outer actions of pointed Hopf algebras by S. Westreich Quasi-triangular structures on Hopf algebras with positive bases by J.-H. Lu, M. Yan, and Y. Zhu.
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