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