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The algebra of Schur operators
We study a representation of the (local) plactic monoid given by Schur operators ui, which act on partitions by adding a box in column i (if possible). In particular, we give a complete list of the relations that hold in the algebra of Schur operators.
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| Published in: | European journal of combinatorics 2020-06, Vol.87, p.103130, Article 103130 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that this one cites Items that cite this one |
| Online Access: | Get full text |
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| Summary: | We study a representation of the (local) plactic monoid given by Schur operators ui, which act on partitions by adding a box in column i (if possible). In particular, we give a complete list of the relations that hold in the algebra of Schur operators. |
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| ISSN: | 0195-6698 1095-9971 |
| DOI: | 10.1016/j.ejc.2020.103130 |