Higher level affine crystals and Young walls

Simple item page
dc.creatorKang, Seok-Jin
dc.creatorLee, Hyeonmi
dc.date2003-10-28
dc.date2003-12-24
dc.date.accessioned2026-07-07T05:02:17Z
dc.date.available2026-07-07T05:02:17Z
dc.descriptionUsing combinatorics of Young walls, we give a new realization of arbitrary level irreducible highest weight crystals $\mathcal{B}(λ)$ for quantum affine algebras of type $A_n^{(1)}$, $B_n^{(1)}$, $C_n^{(1)}$, $A_{2n-1}^{(2)}$, $A_{2n}^{(2)}$, and $D_{n+1}^{(2)}$. The irreducible highest weight crystals are realized as the affine crystals consisting of reduced proper Young walls. The notion of slices and splitting of blocks plays a crucial role in the constructions of crystal graphs.
dc.identifierhttps://arxiv.org/abs/math/0310430
dc.identifierhttp://arxiv.org/abs/math/0310430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68999
dc.subjectQuantum Algebra
dc.titleHigher level affine crystals and Young walls
dc.typetext

Files

Collections

arXiv