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

نویسندگان

  • Tiago Fonseca
  • Paul Zinn-Justin
چکیده

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. The authors thank N. Kitanine for discussions, and J.-B. Zuber for a careful reading of the manuscript. PZJ was supported by EU Marie Curie Research Training Networks “ENRAGE” MRTNCT-2004-005616, “ENIGMA” MRT-CT-2004-5652, ESF program “MISGAM” and ANR program “GIMP” ANR-05-BLAN-0029-01. the electronic journal of combinatorics 15 (2008), #R81 1

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2008