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Adjoint crystals and Young walls for Uq(sl2̂)
- 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