Hopf Algebra: An Introduction / Edition 1

by Sorin Dascalescu, Constantin Nastasescu, Serban Raianu

Overview

This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.

Product Details

ISBN-13:	9780824704810
Publisher:	Taylor & Francis
Publication date:	09/15/2000
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #235
Pages:	418
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Sorin Dascalescu, Constantin Nastasescu, Serban Raianu

Table of Contents

Algebras and coalgebras; comodules; special classes of coalgebras; bialgebras and Hopf algrebras; integrals; actions and coactions; finite dimensional Hopf algebras; the category theory language; C-groups and C-cogroups.

Editorial Reviews

". . .a valuable investment for any student and researcher interested in algebra."
—-Mathematica
". . .a timely addition to the literature... . . .an up-to-date introduction to the algebraic theory of Hopf algebras."
—-Zbl. Math
". . .state of the art."
—-Mathematical Reviews

From the Publisher

...a timely addition to the literature... "...an up-to-date introduction to the algebraic theory of Hopf algebras."

Zbl. Math

...a valuable investment for any student and researcher interested in algebra.

Mathematica

The authors, all mathematicians at the University of Bucharest, Romania, begin with coverage of basic concepts of algebras and coalgebras, and move through discussions of comodules, special classes of coalgebras, bialgebras, integrals, and two chapters specifically dedicated to Hopf algebras. The Nichols-Zoeller, Taft-Wilson, and Kac-Zhu theorems, as well as semiperfect, co-Frobenius, and cosemisimple coalgebras are also covered, all using the language of category theory. Exercises throughout the text, and bibliographical summaries at the end of each chapter aid understanding of each topic. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews