Thick subcategories and non-crossing partitions

Sira Gratz (Oxford)

Frank Adams 1,

In joint work with Greg Stevenson we describe the lattice of thick subcategories in the bounded derived category of graded modules over the dual numbers. Despite the representation theory of the dual numbers being rather simple, classifying thick subcategories in this category proves to be combinatorially very interesting. In fact, there are relations to non-crossing partitions of an infinity-gon, thus providing an example of an infinite version of the classification of thick subcategories in bounded derived categories of Dynkin quivers via non-crossing partitions by Ingalls and Thomas.

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