A combinatorial generalization of the Durfee square
<p>The Durfee square of a partition <em>λ, D(λ)</em>, is defined as the largest square contained in the shape of <em>λ</em>.</p><p>It was proved in [2] (cf. also [3]) that the size of <em>D(λ), d(λ)</em>, was related to the perfection of a certai...
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2007-12-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/19 |
| Summary: | <p>The Durfee square of a partition <em>λ, D(λ)</em>, is defined as the largest square contained in the shape of <em>λ</em>.</p><p>It was proved in [2] (cf. also [3]) that the size of <em>D(λ), d(λ)</em>, was related to the perfection of a certain module <em>M_λ</em> , an algebro-geometric object (cf. also [1], [4], [5]). The goal of this note is to propose a generalization of the notion of Durfee square to the case of a pair <em>(α, β)</em> of partitions.</p> |
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| ISSN: | 0373-3505 2037-5298 |