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Simple algebras and Drinfeld doubles

✍ Scribed by Á. Ballesteros; E. Celeghini; M. A. del Olmo


Book ID
111440558
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
526 KB
Volume
71
Category
Article
ISSN
1063-7788

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📜 SIMILAR VOLUMES


Drinfeld Double and Ringel–Green Theory
✍ Jie Xiao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 530 KB

As a continuation of the work of Ringel and Green on Hall algebras, the Hopf Ž . algebra structure of a extended twisted Hall algebra is presented here. By introducing the Ringel pairing of Hall algebras, the Drinfeld double of a Hall algebra is constructed. The reduced form of this Drinfeld double

Derived categories, tilted algebras, and
✍ Liangang Peng; Youjun Tan 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 230 KB

Given a finite dimensional hereditary algebra Λ over a finite field k, in the derived category D b (Λ) we obtain some formulae on Hall numbers associated to triangles. Using them we prove that, for any tilted algebra Γ of Λ, there is an embedding of the twisted Ringel-Hall algebra of Γ into the Drin