Gog and Magog triangles, and the Schutzenberger involution

Mathematics – Combinatorics

Scientific paper

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17 pages

Scientific paper

We describe an approach to finding a bijection between Alternating Sign
Matrices and Totally Symmetric Self-Complementary Plane Partitions, which is
based on the Schutzenberger involution. In particular we give an explicit
bijection between Gog and Magog trapezoids with two diagonals.

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