Let D(Ξ) be the double Ringel-Hall algebra of a finite dimensional hereditary algebra Ξ. The present paper shows that the BGP-reflection operators of D(Ξ) coincide with Lusztig's symmetries (up to canonical isomorphisms) and satisfy the braid group relations on the whole double Ringel-Hall algebra D
Feynman Graphs, Rooted Trees, and Ringel-Hall Algebras
β Scribed by Kobi Kremnizer; Matt Szczesny
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 316 KB
- Volume
- 289
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
As a continuation of the work of Ringel and Green on Hall algebras, the Hopf Ε½ . 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
## Abstract For a graph __G__, let __t__(__G__) denote the maximum number of vertices in an induced subgraph of __G__that is a tree. Further, for a vertex __v__β__V__(__G__), let __t__(__G, v__) denote the maximum number of vertices in an induced subgraph of __G__that is a tree, with the extra cond