Volume 80, Issue 3
Articles

The Hall algebra of a spherical object

Bernhard Keller

Corresponding Author

E-mail address: [email protected]

Institut de Mathématiques de Jussieu, UMR 7586 du CNRS, Université Paris Diderot – Paris 7, UFR de Mathématiques, Case 7012, 2 place Jussieu, 75251 Paris, Cedex 05, France

E-mail address: [email protected]

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Dong Yang

Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany, [email protected]

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Guodong Zhou

Institut für Mathematik, Universität Paderborn, D-33095 Paderborn, Germany, [email protected]

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First published: 16 October 2009
Citations: 15

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.