An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type $G_{2}^{(1)}$

Toya Hiroshima

paper

An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type $G_{2}^{(1)}$

arXiv:2104.10331

Abstract

We construct an explicit algorithm of the static-preserving bijection between the rigged configurations and the highest weight paths of the form $(B^{2, 1})^{\otimes L}$ in the $G_{2}^{(1)}$ adjoint crystals.

70 pages, typo fixed, references added

References in corpus (1)

X=M for symmetric powers

An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type G2(1)​

Abstract

References in corpus (1)

An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type $G_{2}^{(1)}$