A Short Proof of the Rank Formula for Inclusion Matrices using the Representation Theory of the Symmetric Group
| Autor: | Jolliffe, Liam |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | We present a new proof of the well known formula for the rank of the inclusion matrix by constructing a $k\mathcal{S}_n$-module spanned by the columns of this matrix and calculating its dimension. Comment: 8 pages |
| Databáze: | arXiv |
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