%0 Journal Article
%T Tiling bijections between paths and Brauer diagrams
%A Robert J Marsh
%A Paul Martin
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s10801-010-0252-6
%X There is a natural bijection between Dyck paths and basis diagrams of the Temperley-Lieb algebra defined via tiling. Overhang paths are certain generalisations of Dyck paths allowing more general steps but restricted to a rectangle in the two-dimensional integer lattice. We show that there is a natural bijection, extending the above tiling construction, between overhang paths and basis diagrams of the Brauer algebra.
%U http://arxiv.org/abs/0906.0912v2