Three alternating sign matrix identities in search of bijective proofs

Details Three alternating sign matrix identities in search of bijective proofs Three alternating sign matrix identities in search of bijective proofs

2000-07-18

arxiv.org/abs/math/0007114v1

Mathematics

Combinatorics

Scientific paper

This paper highlights three known identities, each of which involves sums
over alternating sign matrices. While proofs of all three are known, the only
known derivations are as corollaries of difficult results. The simplicity and
natural combinatorial interpretation of these identities, however, suggest that
there should be direct, bijective proofs.

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