Lectures on Quantum Groups (Graduate Studies in Mathematics)

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9780821804780: Lectures on Quantum Groups (Graduate Studies in Mathematics)

Since its origin about ten years ago, the theory of quantum groups has become one of the most fascinating topics of modern mathematics, with numerous applications to several sometimes rather disparate areas, including low-dimensional topology and mathematical physics. This book is one of the first expositions that is specifically directed to students who have no previous knowledge of the subject. The only prerequisite, in addition to standard linear algebra, is some acquaintance with the classical theory of complex semisimple Lie algebras. Starting with the quantum analog of $\mathfrak{sl}_2$, the author carefully leads the reader through all the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with the classical theory. The final chapters of the book describe the Kashiwara-Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebras. The choice of the topics and the style of exposition make Jantzen's book an excellent textbook for a one-semester course on quantum groups.

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Review :

"Carefully written ... there is an agreeable, sometimes informal, spirit with which [the author] tries to indicate to the reader what is really happening. One pleasant feature is his placing of long computations in appendices at the end of certain chapters." -- Zentralblatt fr Mathematik

"The material is very well motivated ... Of the various monographs available on quantum groups, this one ... seems the most suitable for most mathematicians new to the subject ... will also be appreciated by a lot of those with considerably more experience." -- Bulletin of the London Mathematical Society

"Very useful for ... understanding and ... research in quantum groups, in particular, the chapters on the braid group action and crystal bases ... highly recommend[ed] ... to all research mathematicians working in quantum groups ... The writing is one of the most pleasant attributes of this book. The flow of the words and ideas is very smooth and very conducive to actually understanding what is going on." --Mathematical Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Jens Carsten Jantzen
Edité par American Mathematical Society (1995)
ISBN 10 : 0821804782 ISBN 13 : 9780821804780
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Description du livre American Mathematical Society, 1995. Hardcover. État : New. Brand new. We distribute directly for the publisher. Clean, unmarked pages. Fine binding and cover. Ships daily. N° de réf. du libraire 1411040069

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Jens Carsten Jantzen
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ISBN 10 : 0821804782 ISBN 13 : 9780821804780
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Description du livre American Mathematical Society, United States, 1995. Hardback. État : New. Language: English . Brand New Book. Since its origin about ten years ago, the theory of quantum groups has become one of the most fascinating topics of modern mathematics, with numerous applications to several sometimes rather disparate areas, including low-dimensional topology and mathematical physics. This book is one of the first expositions that is specifically directed to students who have no previous knowledge of the subject. The only prerequisite, in addition to standard linear algebra, is some acquaintance with the classical theory of complex semisimple Lie algebras.Starting with the quantum analog of $SL 2$, the author carefully leads the reader through all the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with the classical theory. The final chapters of the book describe the Kashiwara-Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebra. The choice of the topics and the style of exposition make Jantzen s book an excellent textbook for a one-semester course on quantum groups. N° de réf. du libraire AAN9780821804780

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Jens Carsten Jantzen
Edité par American Mathematical Society, United States (1995)
ISBN 10 : 0821804782 ISBN 13 : 9780821804780
Neuf(s) Couverture rigide Quantité : 1
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Description du livre American Mathematical Society, United States, 1995. Hardback. État : New. Language: English . Brand New Book. Since its origin about ten years ago, the theory of quantum groups has become one of the most fascinating topics of modern mathematics, with numerous applications to several sometimes rather disparate areas, including low-dimensional topology and mathematical physics. This book is one of the first expositions that is specifically directed to students who have no previous knowledge of the subject. The only prerequisite, in addition to standard linear algebra, is some acquaintance with the classical theory of complex semisimple Lie algebras.Starting with the quantum analog of $SL 2$, the author carefully leads the reader through all the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with the classical theory. The final chapters of the book describe the Kashiwara-Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebra. The choice of the topics and the style of exposition make Jantzen s book an excellent textbook for a one-semester course on quantum groups. N° de réf. du libraire AAN9780821804780

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Description du livre American Mathematical Society, 1995. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9780821804780

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