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The Hall algebra approach to Drinfeld’s presentation of quantum loop algebras

✍ Scribed by Rujing Dou; Yong Jiang; Jie Xiao

Book ID
119183672
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
353 KB
Volume
231
Category
Article
ISSN
0001-8708

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According to the canonical isomorphisms between the Ringel᎐Hall algebras Ž . composition algebras and the quantum groups, we deduce Lusztig's symmetries T Y , i g I, by applying the Bernstein ᎐Gelfand᎐Ponomarev reflection functors to i, 1 the Drinfeld doubles of Ringel᎐Hall algebras. The fundamental