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Young Wall Realization of Crystal Bases for Classical Lie Algebras

Seok-Jin Kang·Jeong-Ah Kim·Hyeonmi Lee·Dong-Uy Shin
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Abstract

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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Seok-Jin Kang, Jeong-Ah Kim, Hyeonmi Lee, Dong-Uy Shin. 2003-09-05. Young Wall Realization of Crystal Bases for Classical Lie Algebras. https://arxiv.org/abs/math/0309095

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