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Original Articles

Young wall model for A2(2)-type adjoint crystals

Pages 2862-2889 | Received 31 Jul 2017, Published online: 18 Jan 2018
 

ABSTRACT

We construct a Young wall model for higher level A2(2)-type adjoint crystals. The Young walls and reduced Young walls are defined in connection with affine energy function. We prove that the affine crystal consisting of reduced Young walls provides a realization of highest weight crystals B(λ) and B(∞).

2010 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

The author would like to express his sincere gratitude to In-Je Lee, S.J. for his great help in writing this manuscript.

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