The Hall algebra of a spherical object
2000 Mathematics Subject Classification 17B37, 18E30, 16E45.
The second author gratefully acknowledges a postdoctoral fellowship granted by the Université Pierre et Marie Curie, during which this work was carried out. The third author benefited from financial support via postdoctoral fellowships from the Ecole Polytechnique and from the network ‘Representation theory of algebras and algebraic Lie theory’.
Abstract
We determine the Hall algebra, in the sense of B. Toën, of the algebraic triangulated category generated by a spherical object.




