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BGP-reflection functors and Lusztig’s symmetries of modified quantized enveloping algebras

✍ Scribed by Xiao, Jie; Zhao, Ming Hui

Book ID: 121625661
Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2013
Tongue: English
Weight: 346 KB
Volume: 29
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-013-2295-9

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BGP-Reflection Functors and Lusztig's Symmetries: A Ringel–Hall Algebra Approach to Quantum Groups

✍ Jie Xiao; Shilin Yang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 303 KB

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