Corpus ID: 235694567

# A new tableau model for irreducible polynomial representations of the orthogonal group

@inproceedings{Watanabe2021ANT,
title={A new tableau model for irreducible polynomial representations of the orthogonal group},
author={Hideya Watanabe},
year={2021}
}
• Hideya Watanabe
• Published 1 July 2021
• Mathematics
We provide a new tableau model from which one can easily deduce the characters of irreducible polynomial representations of the orthogonal group On(C). This model originates from representation theory of the ıquantum group of type AI, and is equipped with a combinatorial structure, which we call AI-crystal structure. This structure enables us to describe combinatorially the tensor product of an On(C)-module and a GLn(C)-module, and the branching from GLn(C) to On(C).

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