Hall algebras
Valerio Toledano Laredo (Northeastern University)
Wednesday March 11th, 2009
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Abstract:
Let A be an abelian category which is linear over a finite field IF_q.
I will review the construction of the Hall algebra H(A) of A. In examples coming from quivers, H(A) is typically a quantum group, where the role of the deformation parameter is played by the cardinality q of the field.
I will also explain how one may set q=1 and obtain the enveloping algebras of semisimple Lie algebras.