  SL_2-tilings were introduced by Assem, Reutenauer, and Smith in connection
with frieses and their applications to cluster algebras.
  An SL_2-tiling is a bi-infinite matrix of positive integers such that each
adjacent 2 x 2-submatrix has determinant 1.
  We construct a large class of new SL_2-tilings which contains the previously
known ones. More precisely, we show that there is a bijection between our class
of SL_2-tilings and certain combinatorial objects, namely triangulations of the
strip.

Combinatorics;Representation Theory