Double Hall algebras and derived equivalences

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Double Hall Algebras and Derived Equivalences

The resulting algebra is known as the Hall algebra HA of A. Hall algebras first appeared in the work of Steinitz [S] and Hall [H] in the case where A is the category of Abelian p-groups. They reemerged in the work of Ringel [R1]-[R3], who showed in [R1] that when A is the category of quiver representations of an A-D-E quiver ~ Q over a finite field Fq, the Hall algebra of A provides a realizati...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2010

ISSN: 0001-8708

DOI: 10.1016/j.aim.2009.12.021