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Ringel–Hall Algebras of Quotient Algebras of Path Algebras

✍ Scribed by Chen, Qinghua


Book ID
120427538
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
285 KB
Volume
41
Category
Article
ISSN
0092-7872

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Ringel–Hall algebras and Lusztig's symme
✍ Bangming Deng; Jie Xiao 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 151 KB

Let D(Λ) be the double Ringel-Hall algebra of a finite dimensional hereditary algebra Λ. The present paper shows that the BGP-reflection operators of D(Λ) coincide with Lusztig's symmetries (up to canonical isomorphisms) and satisfy the braid group relations on the whole double Ringel-Hall algebra D