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A bijective proof of Kadell's conjecture on plane partitions
Authors:Dongsu Kim
Institution:(1) School of Mathematics, University of Minnesota, 55455 Minneapolis, MN, USA
Abstract:We give a weight-preserving bijection fromFscr r, µ m to, whereFscr r, µ m is the set of all plane partitions whose entries are lem and whose entries below ther-th row form a column strict plane partition of typemgr, andFscr µ m the set of all column strict plane partitions of typemgr whose entries are lem, and the set of all plane partitions with at mostr rows, whose entries are lem. This confirms a conjecture of Kadell.
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