On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions

Details On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions

2008-03-11

arxiv.org/abs/0803.1595v1

Mathematics

Combinatorics

Scientific paper

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.

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