A Hall algebra based on the projective line

Christian Kassel (CNRS-Université Louis Pasteur, Strasbourg)



Abstract: (Joint work with Pierre Baumann)
One can construct a Hall algebra out of the vector bundles over a projective curve on a finite field. I'll describe this algebra in the case when the curve is a projective line. This algebra is related to the quantum affine algebra associated to the Lie algebra sl(2). In my talk I'll insist on the combinatorial aspects of the subject.

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