On the Counting of Fully Packed Loop Configurations: Some New Conjectures

New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures are based on the analysis of the ground state of the Temperley-Lieb chain, for periodic boundary conditions and so-called "identified connectivities", up to size 2n = 22.

• Type: Journal
• Year: 2004
• Where: COMBINATORICS
• Authors: Jean-Bernard Zuber
• Keywords: COMBINATORICS 2004, Conjectures, FPL Configurations, Periodic Boundary Conditions