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Hopf Algebras And Their Actions On Rings (Cbms Regional Conference Series In Mathematics),Used
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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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- Q: What is the page count of this book? A: This book contains two hundred thirty-eight pages. It provides a comprehensive overview of Hopf algebras and their applications.
- Q: What is the binding type of this book? A: The binding type is paperback. This makes it lightweight and portable for easy reading.
- Q: What are the dimensions of the book? A: The book measures seven point twenty-five inches in length, zero point seventy-five inches in width, and ten inches in height.
- Q: Who is the author of this book? A: The author is Susan Montgomery. She is well-regarded in the field of mathematics, particularly in Hopf algebras.
- Q: What is the primary subject of this book? A: The primary subject is mathematics, specifically focusing on Hopf algebras and their actions on rings.
- Q: Is this book suitable for beginners in mathematics? A: Yes, this book is suitable for graduate students and those seeking an accessible introduction to Hopf algebras.
- Q: What are the key themes covered in this book? A: Key themes include quantum groups, actions of Hopf algebras, and connections to various areas of mathematics.
- Q: How is this book organized? A: The book features two introductory chapters followed by advanced material that has not previously appeared in book form.
- Q: Is this book useful for a graduate course? A: Yes, it serves as an excellent graduate textbook for courses in Hopf algebras and quantum groups.
- Q: Can I find previous research in this book? A: Yes, it unifies earlier results on group actions, actions of Lie algebras, and graded algebras.
- Q: Does this book focus on quantum groups? A: Yes, quantum groups are treated as an important example of Hopf algebras within the text.
- Q: What condition is the used book in? A: The book is described as being in good condition. It is suitable for reading and study.
- Q: Is there a warranty for this book? A: No, books typically do not come with a warranty. However, check the seller's return policy for specifics.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the seller immediately for a possible replacement or refund.
- Q: How do I store this book? A: Store this book upright on a shelf in a dry environment to prevent moisture damage.