# On the Hall algebra of an elliptic curve, I

@article{Burban2005OnTH,
title={On the Hall algebra of an elliptic curve, I},
author={I. I. Burban and Olivier Schiffmann},
journal={Duke Mathematical Journal},
year={2005},
volume={161},
pages={1171-1231}
}
• Published 9 May 2005
• Mathematics
• Duke Mathematical Journal
This paper is a sequel to math.AG/0505148, where the Hall algebra U^+_E of the category of coherent sheaves on an elliptic curve E defined over a finite field was explicitly described, and shown to be a two-parameter deformation of the ring of diagonal invariants R^+=C[x_1^{\pm 1}, ..., y_1,...]^{S_{\infty}} (in infinitely many variables). In the present work, we study a geometric version of this Hall algebra, by considering a convolution algebra of perverse sheaves on the moduli spaces of…
151 Citations

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