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Adjoint crystals and Young walls for Uq(sl2̂)

Authors :
Seok-Jin Kang
Myungho Kim
Ji Hye Jung
Sungsoon Kim
Jeong-Youn Yu
Source :
European Journal of Combinatorics. 31:738-758
Publication Year :
2010
Publisher :
Elsevier BV, 2010.

Abstract

We develop the combinatorics of Young walls associated with higher level adjoint crystals for the quantum affine algebra U"q(sl"[email protected]^). The irreducible highest weight crystal B(@l) of arbitrary level is realized as the affine crystal consisting of reduced Young walls on @l. We also give a Young wall realization of the crystal B(~) for U"q^-(sl"[email protected]^).

Details

ISSN :
01956698
Volume :
31
Database :
OpenAIRE
Journal :
European Journal of Combinatorics
Accession number :
edsair.doi...........56fb2d2400418c30be3a4a464fe012e4
Full Text :
https://doi.org/10.1016/j.ejc.2009.10.004