Schur-Weyl dualities for symmetric inverse semigroups. (Q927337)
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| Language | Label | Description | Also known as |
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| English | Schur-Weyl dualities for symmetric inverse semigroups. |
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Schur-Weyl dualities for symmetric inverse semigroups. (English)
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5 June 2008
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The authors prove the Schur-Weyl duality in which the algebras, acting on both sides, are semigroup algebras of various symmetric inverse semigroups and their deformations. Related representations of \(\mathcal{IS}_n\) and \(\mathcal{PI}_k^*\) and of their complex semigroup algebras on \(U^{\otimes^k}\) are also studied.
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actions
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representations
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rook monoids
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Schur-Weyl dualities
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semigroup algebras
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symmetric inverse semigroups
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