Ontology type: schema:Chapter Open Access: True
2012
AUTHORS ABSTRACTWe trace the path from the Tamari lattice, via lattice congruences of the weak order, to the definition of Cambrian lattices in the context of finite 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 combinatorics and to cluster algebras. More... »
PAGES293-322
Associahedra, Tamari Lattices and Related Structures
ISBN
978-3-0348-0404-2
978-3-0348-0405-9
http://scigraph.springernature.com/pub.10.1007/978-3-0348-0405-9_15
DOIhttp://dx.doi.org/10.1007/978-3-0348-0405-9_15
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