Abstract
One can attach an Abelian category to each Tamari poset, the category of modules over its incidence algebra. This can also be described as the category of modules over the Hasse diagram of the poset, seen as a quiver with relations. The derived category of this category seems to be a very interesting object, with nice properties and many different descriptions.We recall known results and present some conjectures on these derived categories.
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Chapoton, F. (2012). On the Categories of Modules Over the Tamari Posets. In: Müller-Hoissen, F., Pallo, J., Stasheff, J. (eds) Associahedra, Tamari Lattices and Related Structures. Progress in Mathematics, vol 299. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0405-9_13
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DOI: https://doi.org/10.1007/978-3-0348-0405-9_13
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