A local characterization of simply-laced crystals

By John R. Stembridge. 2003

121 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bd16205b62f318b845d49f9b268a78525702fc24

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ghislain Fourier
2. M. Okado
3. Anne Schilling
4. Michael Lau
5. Vyjayanthi Chari

In Geometry and Topology

1. Ghislain Fourier
2. M. Okado
3. Anne Schilling
4. Michael Lau
5. Vyjayanthi Chari

In Statistical and Nonlinear Physics

1. Ghislain Fourier
2. M. Okado
3. Anne Schilling

Citations in the corpus

• Crystal structure on rigged configurations (2005, methodology): “In [41], Stembridge determines a simple setof local axioms that uniquely characterize the crystals corresponding to representatios for simply-laced algebras.”
• Kirillov–Reshetikhin crystals for nonexceptional types (2008, background): “Stembridge [34] gave a local characterization to determine when an axiomatic crystal actually corresponds to a Uq(g)-representation when g is simplylaced.”