A Conjectured Formula for Fully Packed Loop Configurations in a Triangle

Paul Zinn-Justin

Type: Article

Publication Date: 2010-08-09

Citations: 5

DOI: https://doi.org/10.37236/379

Abstract

We describe a new conjecture involving Fully Packed Loop counting which relates (via the Razumov–Stroganov conjecture) recent observations of Thapper to formulae in the Temperley–Lieb model of loops.

Locations

The Electronic Journal of Combinatorics - View - PDF

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Action	Title	Year	Authors
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Works Cited by This (25)

Action	Title	Year	Authors
+ PDF Chat	Combinatorial Nature of the Ground-State Vector of the O(1) Loop Model	2004	A. V. Razumov Yu. G. Stroganov
+	Fully Packed Loop configurations in a triangle	2013	Philippe Nadeau
+	Quantum Knizhnik-Zamolodchikov Equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices	2008	Philippe Di Francesco Paul Zinn-Justin
+	Proof of the Razumov–Stroganov conjecture	2011	Luigi Cantini Andrea Sportiello
+ PDF Chat	The Many Faces of Alternating-Sign Matrices	2001	James Propp
+ PDF Chat	On the Number of Fully Packed Loop Configurations with a Fixed Associated Matching	2005	Fabrizio Caselli Christian Krattenthaler Bodo Lass Philippe Nadeau
+	Path representation of maximal parabolic Kazhdan-Lusztig polynomials	2010	Keiichi Shigechi Paul Zinn-Justin
+ PDF Chat	The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials	2005	Philippe Di Francesco Paul Zinn-Justin
+ PDF Chat	Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics	2007	Philippe Di Francesco Paul Zinn-Justin
+ PDF Chat	On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self - Complementary Plane Partitions	2008	Tiago Fonseca Paul Zinn-Justin