Hopf Algebras in Noncommutative Geometry and Physics

Series:
Lecture Notes in Pure and Applied Mathematics
Published:
November 08, 2004 by CRC Press - 344 Pages
Editor(s):
Stefaan Caenepeel, Free University of Brussels, Belgium; Fred Van Oystaeyen

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$259.95
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ISBN 9780824757595
Cat# DK7599
 

Features

  • Presents new computational, geometric, and algebraic methods for quantum groups and differential operators
  • Discusses topological Hopf algebras, quantum groups, and deformation quantization
  • Considers the Lasker-Noether theorem for commutative and noetherian module algebras over a pointed Hopf algebra
  • Shows computational strategies for braided monoidal categories

    • Summary

    This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the classification theory of finite dimensional Hopf algebras, categorical aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties of corings and their comodules in relation to ring and Hopf algebra theory and analyzes entwining structures and Morita theory for corings.

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