2011/01/18 by Philippe Biane, Biane, Philippe, Luigi Cantini +3
Mathematics · #15A15 #82B23 #Combinatorics (math.CO) #FOS: Mathematics #Primary 05E05 #Secondary 05A15 #math.CO #msc:05A15 #msc:05E05 #msc:15A15 #msc:82B23
paper · pdf · doi:10.48550/arxiv.1101.3427
23 pages, 3 figures
arxiv created 2011/01/18 · arxiv updated 2011/01/19
We prove a determinantal identity concerning Schur functions for 2-staircase diagrams lambda=(ln+l',ln,l(n-1)+l',l(n-1),...,l+l',l,l',0). When l=1 and l'=0 these functions are related to the partition function of the 6-vertex model at the combinatorial point and hence to enumerations of Alternating Sign Matrices. A consequence of our result is an identity concerning the doubly-refined enumerations of Alternating Sign Matrices.