A generalization of the Schur algebra to \(k[\tau_r]\). (Q2368732)
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| Language | Label | Description | Also known as |
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| English | A generalization of the Schur algebra to \(k[\tau_r]\). |
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A generalization of the Schur algebra to \(k[\tau_r]\). (English)
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28 April 2006
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The authors introduce and analyze a new family of algebras \(B_k(n,r)\). This algebra is related to the algebra \(K[\tau_r]\), where \(\tau_r\) is the full transformation semigroup on \(r\) elements, in analogy to the relation between the Schur algebra \(S_k(n,r)\) and the group algebra \(k[\Sigma_r]\).
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group algebras
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symmetric groups
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semigroup algebras
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full transformation semigroups
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Schur algebras
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