On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions
The electronic journal of combinatorics, Tome 15 (2008)
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We prove the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions using integral formulae originating from certain solutions of the quantum Knizhnik–Zamolodchikov equation.
DOI : 10.37236/805
Classification : 05A15, 15B51, 82B20
@article{10_37236_805,
     author = {Tiago Fonseca and Paul Zinn-Justin},
     title = {On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/805},
     zbl = {1206.05015},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/805/}
}
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Tiago Fonseca; Paul Zinn-Justin. On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/805

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