Off-Diagonally Symmetric Domino Tilings of the Aztec Diamond
Off-Diagonally Symmetric Domino Tilings of the Aztec Diamond
We introduce a new symmetry class of domino tilings of the Aztec diamond, called the off-diagonal symmetry class, which is motivated by the off-diagonally symmetric alternating sign matrices introduced by Kuperberg in 2002. We use the method of non-intersecting lattice paths and a modification of Stembridge's Pfaffian formula for families …