Mihai Ciucu
Published 2015-03-26Version 1
All ten symmetry classes of plane partitions that fit in a given box are known to be enumerated by simple product formulas, but there is still no unified proof for all of them. Progress towards this goal can be made by establishing identities connecting the various symmetry classes. We present in this paper four such identities, involving all ten symmetry classes. We discuss their proofs and generalizations. The main result of this paper is to give a generalization of one of them, in the style of the identity presented in "A factorization theorem for rhombus tilings," M. Ciucu and C. Krattenthaler, arXiv:1403.3323.
A Bijection between classes of Fully Packed Loops and Plane Partitions
Enumeration of symmetry classes of convex polyominoes in the square lattice
On the symmetry classes of the first covariant derivatives of tensor fields
![QR code for arXiv:1503.07915 [math.CO]](http://oss.arxitics.com/images/favicon.svg)