nLab Macdonald conjecture on plane partitions

Disambiguation – there are other Macdonald conjectures, e.g. Macdonald positivity conjecture (see wikipedia: Macdonald polynomials)

Useful disambiguation is at wikipedia: Macdonald conjecture (disambiguation)

Idea

Macdonald conjecture on planar partitions is about the generating function of the number of cyclically symmetric planar partitions.

Literature

  • G. E. Andrews, Plane partitions (III): The weak Macdonald conjecture Invent. Math. 53 (1979) 193– 225

  • I. G. Macdonald, Symmetric functions and Hall polynomials, Oxford: Clarendon Press 1979

  • W. H. Mills, D. P. Robbins, H. Rumsey. Jr., Proof of the Macdonald conjecture, Invent. Math. 66 (1982) 73–87 doi

category: combinatorics

Created on August 2, 2024 at 17:31:03. See the history of this page for a list of all contributions to it.