A combinatorial model for the transition matrix between the Specht and $\operatorname {SL}_2$ -web bases
We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between the Specht and $\operatorname {SL}_2$ -web bases of the irreducible $ \mathfrak {S}_{2n} $ -representation i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2023-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000798/type/journal_article |
| Summary: | We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between the Specht and
$\operatorname {SL}_2$
-web bases of the irreducible
$ \mathfrak {S}_{2n} $
-representation indexed by
$ (n,n) $
, which answers Rhoades’s question. Furthermore, we study enumerative properties of these permutations. |
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| ISSN: | 2050-5094 |