New Directions in Hopf Algebras

Released on by Susan Montgomery
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  • New Directions in Hopf Algebras Book Detail

  • Author : Susan Montgomery
  • Release Date : 2002-05-06
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 502
  • ISBN 13 : 9780521815123
  • File Size : 80,80 MB
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New Directions in Hopf Algebras by Susan Montgomery PDF Summary

Book Description: Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas of physics and mathematics. They have been intensely studied in the past; in particular, the solution of a number of conjectures of Kaplansky from the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the topics covered are results toward the classification of finite-dimensional Hopf algebras (semisimple and non-semisimple), as well as what is known about the extension theory of Hopf algebras. Some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to work in quantum groups. The book also explores the connections and applications of Hopf algebras to other fields.

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