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Weight Vectors of the Basic A_1^(1)-Module and the Littlewood-Richardson Rule

Susumu Ariki·Tatsuhiro Nakajima·Hiro-Fumi Yamada
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Abstract

The basic representation of $\A$ is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. Littlewood-Richardson rule appears in the linear relations among weight vectors.

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Susumu Ariki, Tatsuhiro Nakajima, Hiro-Fumi Yamada. 1995-02-18. Weight Vectors of the Basic A_1^(1)-Module and the Littlewood-Richardson Rule. https://doi.org/10.1088/0305-4470/28/13/001

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