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Lectures on quantum groups

Author: Jens Carsten Jantzen
Publisher: Providence, R.I. : American Mathematical Society, ©1996.
Series: Graduate studies in mathematics, v. 6.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Starting with the quantum analog of $SL_2$, this title leads the reader through the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jens Carsten Jantzen
ISBN: 0821804782 9780821804780
OCLC Number: 33104837
Description: vii, 266 pages ; 27 cm.
Contents: Introduction Gaussian binomial coefficients The quantized enveloping algebra $U_q(\mathfrak s \mathfrak {1}_2)$ Representations of $U_q(\mathfrak{sl}_2)$ Tensor products or: $U_q(\mathfrak{sl}_2)$ as a Hopf algebra The quantized enveloping algebra $U_q(\mathfrak g)$ Representations of $U_q(\mathfrak g)$ Examples of representations The center and bilinear forms $R$-matrices and $k_q[G]$ Braid group actions and PBW type basis Proof of proposition 8.28 Crystal bases I Crystal bases II Crystal bases III References Notations Index.
Series Title: Graduate studies in mathematics, v. 6.
Responsibility: Jens Carsten Jantzen.
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... very precisely written... I appreciate the presentation and the theory and I think that the reader of this book will quickly feel at home in the theory and will like it... Recently, many books on Read more...

 
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