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The Tamari lattice as it arises in quiver representations. (English) Zbl 1264.16018

Müller-Hoissen, Folkert (ed.) et al., Associahedra, Tamari lattices and related structures. Tamari memorial Festschrift. Basel: Birkhäuser (ISBN 978-3-0348-0404-2/hbk; 978-3-0348-0405-9/ebook). Progress in Mathematics 299, 281-291 (2012).
Summary: We explain how the Tamari lattice arises in the context of the representation theory of quivers, as the poset whose elements are the torsion classes of a directed path quiver, with the order relation given by inclusion.
For the entire collection see [Zbl 1253.00013].

MSC:

16G20 Representations of quivers and partially ordered sets
06A07 Combinatorics of partially ordered sets
05E10 Combinatorial aspects of representation theory