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Geometric approach to Hall algebra of representations of Quivers over local ring
Quantum generalized Kac-Moody algebra Hall algebra quiver local ring
2011/2/25
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...
On the Hall algebra of coherent sheaves on P^1 over F_1
Hall algebra coherent sheaves P^1 over F_1
2010/12/8
Using a model of schemes over F1 in the spirit of Deitmar and Haran, we study the categoryCoh(P1) of coherent sheaves onP1 overF1. This category resembles in most ways a finitary abelian category, but...