Proof of the Macdonald conjecture
From MaRDI portal
Publication:1154466
DOI10.1007/BF01404757zbMath0465.05006WikidataQ123115807 ScholiaQ123115807MaRDI QIDQ1154466
W. H. Mills, Howard jun. Rumsey, David P. Robbins
Publication date: 1982
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142870
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)
Related Items
Diagonally and antidiagonally symmetric alternating sign matrices of odd order, Symmetries of plane partitions, Square ice, alternating sign matrices, and classical orthogonal polynomials, Some hidden relations involving the ten symmetry classes of plane partitions, Determinants and alternating sign matrices, Plane partitions. IV: A conjecture of Mills-Robbins-Rumsey, Descending plane partitions and rhombus tilings of a hexagon with a triangular hole, Alternating sign matrices of finite multiplicative order, Enumeration of a symmetry class of plane partitions, Arctic curves of the six-vertex model on generic domains: the tangent method, The mysterious story of square ice, piles of cubes, and bijections, A new proof of the refined alternating sign matrix theorem, Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order, On the generating functions for certain classes of plane partitions, Fully packed loop configurations in a triangle, (--1)-enumeration of plane partitions with complementation symmetry, Interview with Xavier Viennot, A direct bijection between descending plane partitions with no special parts and permutation matrices, Alternating signed bipartite graphs and difference-1 colourings, Alternating sign matrices and totally symmetric plane partitions, Domain wall six-vertex model with half-turn symmetry, Multiply-refined enumeration of alternating sign matrices, On the weighted enumeration of alternating sign matrices and descending plane partitions, Linear relations of refined enumerations of alternating sign matrices, A new determinant for the \(Q\)-enumeration of alternating sign matrices, A Schur function identity related to the \((-1)\)-enumeration of self-complementary plane partitions, Alternating-sign matrices and domino tilings. II, Alternating-sign matrices and domino tilings. I, Proof of the Razumov-Stroganov conjecture, On the refined 3-enumeration of alternating sign matrices, Refined enumeration of halved monotone triangles and applications to vertically symmetric alternating sign trapezoids, Generating functions for shifted plane partitions, U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration, A natural bijection between permutations and a family of descending plane partitions, Enumeration of Lozenge tilings of hexagons with a central triangular hole, Constant term formulas for refined enumerations of Gog and Magog trapezoids, Refined enumerations of alternating sign triangles, Permutation totally symmetric self-complementary plane partitions, A new proof of the M-R-R conjecture-including a generalization, Short proof of the ASM theorem avoiding the six-vertex model, Unnamed Item, Partially strict shifted plane partitions, Cyclically symmetric lozenge tilings of a hexagon with four holes, Enumeration of alternating sign triangles using a constant term approach, An operator formula for the number of halved monotone triangles with prescribed bottom row, Self-complementary totally symmetric plane partitions, Fully Packed Loop Models on Finite Geometries, Loops, matchings and alternating-sign matrices, Alternating sign matrices and descending plane partitions, A constant term identity featuring the ubiquitous (and mysterious) Andrews-Mills-Robbins-Rumsey numbers \(1, 2, 7, 42, 429, \dots\)
Cites Work