Young wall realization of crystal bases for classical Lie algebras

Kang, Seok-Jin; Kim, Jeong-Ah; Lee, Hyeonmi; Shin, Dong-Uy

doi:10.1090/S0002-9947-03-03400-7

Young wall realization of crystal bases for classical Lie algebras
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by Seok-Jin Kang, Jeong-Ah Kim, Hyeonmi Lee and Dong-Uy Shin PDF

Trans. Amer. Math. Soc. 356 (2004), 2349-2378 Request permission

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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