= Hall algebra
{wiki=Hall_algebra}
Hall algebra is a mathematical structure that arises in the context of category theory and representation theory, particularly in the study of representations of finite groups and combinatorial structures. It is named after Philip Hall, who introduced the concept of Hall systems in the 1930s. At its core, Hall algebra is built on the idea of Hall pairs, which are certain collections of subsets of a finite set that satisfy specific combinatorial properties.
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