Advances in Hopf algebras
By: edited by Jeffrey Bergen, Susan Montgomery.
Contributors: Bergen, Jeffrey, 1955-; Montgomery, Susan.
Series: Lecture notes in pure and applied mathematics ;; v. 158
Publisher: Dekker; CRC Press
Published: 1994
Place of publication: New York
Language: eng
Number of pages: 326
Subjects: Hopf algebras -- Congresses.
Description: This remarkable reference contains expository papers by leading researchers in the field of Hopf algebras, most of which were presented at the National Science Foundation-Conference Board of the Mathematical Sciences symposium on Hopf algebras held at DePaul University, Chicago, Illinois.

Discussing connections of Hopf algebras to other areas of mathematics, including category theory, group theory, combinatorics, and the theory of knots and links in topology, Advances in Hopf Algebras offers positive results on local freeness built around the Hopf algebra theme...covers topics such as quantum groups, Hopf Galois theory, actions and coactions of Hopf algebras, smash and crossed products, and the structure of cosemisimple Hopf algebras...examines the actions of quasitriangular Hopf algebras on quantum-commutative algebras...studies some general principles on how to construct algebras and comodule algebras... constructs endomorphism spaces in the category of noncommutative spaces...describes quantum GL[subscript d] and introduces the q-Schur algebra with the Hecke algebra...investigates the Knot invariance arising from finite-dimensional ribbon Hopf algebras and the algebra involved in their construction...and more.
Notes: Includes bibliographical references.
Lectures from a conference held at DePaul University in Chicago.