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Communications in Algebra Volume 42, 2014 - Issue 10
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Original Articles

Crystal ℬ(∞) for Quantum Affine Algebras: A Young Wall Description

Hyeonmi Lee Department of Mathematics and Research Institute for Natural Sciences, Hanyang University, Seoul, South KoreaCorrespondence[email protected]
Pages 4509-4525 | Received 09 Jun 2013, Published online: 14 May 2014
 
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Abstract

We study the crystal base ℬ(∞) associated with the negative part of the quantum group for classical affine Lie algebra types. Using the expression of the crystal ℬ(∞) as a union of highest weight crystals, we give an explicit description of ℬ(∞) in terms of Young walls. The new description realizes ℬ(∞) as a set of certain objects called marginally large walls.

2010 Mathematics Subject Classification:

Notes

Communicated by K. Misra.

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