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Hall algebras and quantum groups

✍ Scribed by Claus Michael Ringel


Publisher
Springer-Verlag
Year
1990
Tongue
English
Weight
376 KB
Volume
101
Category
Article
ISSN
0020-9910

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BGP-Reflection Functors and Lusztig's Sy
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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