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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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 |
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doaj-586b9a968c924399af30a369c01b0ad52020-11-25T01:50:55ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982007-12-0162110711917A combinatorial generalization of the Durfee squareMaria Artale0Seconda Università degli Studi di Roma Tor Vergata<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>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/19 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Maria Artale |
| spellingShingle |
Maria Artale A combinatorial generalization of the Durfee square Le Matematiche |
| author_facet |
Maria Artale |
| author_sort |
Maria Artale |
| title |
A combinatorial generalization of the Durfee square |
| title_short |
A combinatorial generalization of the Durfee square |
| title_full |
A combinatorial generalization of the Durfee square |
| title_fullStr |
A combinatorial generalization of the Durfee square |
| title_full_unstemmed |
A combinatorial generalization of the Durfee square |
| title_sort |
combinatorial generalization of the durfee square |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
2007-12-01 |
| description |
<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> |
| url |
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/19 |
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