The Hall algebra of a spherical object

By B. Keller, Dong Ping Yang, Guodong Zhou. 2008

60 citations recorded by the source corpus.

We determine the Hall algebra, in the sense of B. Toën, of the algebraic triangulated category generated by a spherical object.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/41af68afb6f28b0120f3d85d61bfab9b1ffa034a

Citations in the corpus

• Representations of Algebras and Related Topics (2011, unknown): “In this case, the Hall algebra H of the corresponding category defined over a finite field is described explicitly in [47].”
• On a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon (2012, unknown): “Note that in terms of coordinates, the actions of Σ = τ and S = Σ2 on objects are Σ(m,n) = (m− 1, n− 1), S(m,n) = (m− 2, n− 2).”