Cyclically Symmetric Plane Partition

A plane partition whose solid Ferrers diagram is invariant under the rotation which cyclically permutes the x-, y-, and z-axes. Macdonald's plane partition conjecture gives a formula for the number of cyclically symmetric plane partitions (CSPPs) of a given integer whose Ferrers diagrams fit inside an n×n×n box. Macdonald gave a product representation for the power series whose coefficients q^n were the number of such partitions of n.

See also

Macdonald's Plane Partition Conjecture, Magog Triangle, Plane Partition

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Bressoud, D. and Propp, J. "How the Alternating Sign Matrix Conjecture was Solved." Not. Amer. Math. Soc. 46, 637-646.

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Cyclically Symmetric Plane Partition

Cite this as:

Weisstein, Eric W. "Cyclically Symmetric Plane Partition." From MathWorld--A Wolfram Web Resource.

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