Hopf Algebras And Their Actions On Rings (Cbms Regional Conference Series In Mathematics),New

Hopf Algebras And Their Actions On Rings (Cbms Regional Conference Series In Mathematics),New

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The last ten years have seen a number of significant advances in Hopf algebras. The best known is the introduction of quantum groups, which are Hopf algebras that arose in mathematical physics and now have connections to many areas of mathematics. In addition, several conjectures of Kaplansky have been solved, the most striking of which is a kind of Lagrange's theorem for Hopf algebras. Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously appeared in book form. Providing an accessible introduction to Hopf algebras, this book would make an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.

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Frequently Asked Questions

  • Q: What is the main focus of 'Hopf Algebras and Their Actions on Rings'? A: The book primarily focuses on the algebraic structure of Hopf algebras and their actions and coactions, highlighting significant advancements in the field, particularly quantum groups.
  • Q: Who is the author of this book? A: The author of 'Hopf Algebras and Their Actions on Rings' is Susan Montgomery.
  • Q: When was 'Hopf Algebras and Their Actions on Rings' published? A: This book was published on October 28, 1993.
  • Q: How many pages does the book contain? A: The book contains a total of 238 pages.
  • Q: What is the condition of the book? A: The book is listed as 'New' and is in good condition.
  • Q: What is the binding type of the book? A: The book is available in paperback binding.
  • Q: Is this book suitable for beginners in mathematics? A: Yes, the book provides an accessible introduction to Hopf algebras, making it suitable for graduate students or beginners interested in the topic.
  • Q: What are some key topics covered in the book? A: Key topics include quantum groups, actions of Hopf algebras, and unification of earlier results on group actions and graded algebras.
  • Q: Does the book include previously unpublished material? A: Yes, most of the material in the book has not previously appeared in book form.
  • Q: Can this book be used as a textbook for courses? A: Yes, it is suitable as a graduate textbook for courses in Hopf algebras or introductions to quantum groups.