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arxiv: math/0309095 · v1 · submitted 2003-09-05 · 🧮 math.QA · math.RT

Young Wall Realization of Crystal Bases for Classical Lie Algebras

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keywords algebrasbasesclassicalcrystalrealizationvectorsweightyoung
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In this paper, we give a new realization of crystal bases for finite dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.

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