Four Symmetry Classes of Plane Partitions under One Roof

  title={Four Symmetry Classes of Plane Partitions under One Roof},
  author={Greg Kuperberg},
  journal={J. Comb. Theory, Ser. A},
In previous paper, the author applied the permanent-determ inant method of Kasteleyn and its non-bipartite generalization, the Hafnian-Pfaffian method, to obtain a de terminant or a Pfaffian that enumerates each of the ten symmetry classes of plane partitions. After a cosmetic gene ralization of the Kasteleyn method, we identify the matrices in the four determinantal cases (plain plane parti tions, cyclically symmetric plane partitions, transposecomplement plane partitions, and the intersection… CONTINUE READING

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