# Rigged configuration descriptions of the crystals B(∞) and B(λ) for special linear Lie algebras

@article{Hong2017RiggedCD, title={Rigged configuration descriptions of the crystals B(∞) and B($\lambda$) for special linear Lie algebras}, author={Jin Hong and Hyeonmi Lee}, journal={Journal of Mathematical Physics}, year={2017}, volume={58}, pages={101701} }

The rigged configuration realization RC(∞) of the crystal B(∞) was originally presented as a certain connected component within a larger crystal. In this work, we make the realization more concrete by identifying the elements of RC(∞) explicitly for the An-type case. Two separate descriptions of RC(∞) are obtained. These lead naturally to isomorphisms RC(∞)≅T(∞) and RC(∞)≅T¯(∞), i.e., those with the marginally large tableau and marginally large reverse tableau realizations of B(∞), that may be…

## 2 Citations

Characterization of ${\cal B}(\infty)$ using marginally large tableaux and rigged configurations in the $A_n$ case via integer sequences

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- 2016

Rigged configurations are combinatorial objects prominent in the study of solvable lattice models. Marginally large tableaux are semi-standard Young tableaux of special form that give a realization…

A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009

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- 2015

(2 < p < 4) [200]. (Uq(∫u(1, 1)), oq1/2(2n)) [92]. 1 [273, 79, 304, 119]. 1 + 1 [252]. 2 [352, 318, 226, 40, 233, 157, 299, 60]. 2× 2 [185]. 3 [456, 363, 58, 18, 351]. ∗ [238]. 2 [277]. 3 [350]. p…

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