Titlebook: Associahedra, Tamari Lattices and Related Structures; Tamari Memorial Fest Folkert Müller-Hoissen,Jean Marcel Pallo,Jim Stash Book 2012 Spr

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On the Categories of Modules Over the Tamari Posets,y 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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From the Tamari Lattice to Cambrian Lattices and Beyond,Coxeter groups, and onward to the construction of Cambrian fans. We then present sortable elements, the key combinatorial tool for studying Cambrian lattices and fans. The chapter concludes with a brief description of the applications of Cambrian lattices and sortable elements to Coxeter-Catalan com

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Catalan Lattices on Series Parallel Interval Orders, structures on Catalan objects) in terms of basic notions of the theory of posets. As a consequence of our approach, we find an extremely simple proof of the fact that the Dyck order is a refinement of the Tamari one. Moreover, we provide a description of both the weak and the strong Bruhat order on

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Associahedra, Tamari Lattices and Related StructuresTamari Memorial Fest

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0743-1643 in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations. .978-3-0348-0796-8978-3-0348-0405-9Series ISSN 0743-1643 Series E-ISSN 2296-505X

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