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https://hdl.handle.net/10316/11312
Título: | Key polynomials, invariant factors and an action of the symmetric group on Young tableaux | Autor: | Azenhas, Olga Mamede, Ricardo |
Palavras-chave: | Action of the symmetric group on Young tableaux; Frank words; Invariant factors; jeu de taquin; Key polynomials and matrices over a local principal ideal domain | Data: | 2006 | Editora: | Centro de Matemática da Universidade de Coimbra | Citação: | Pré-Publicações DMUC. 06-62 (2006) | Resumo: | We give a combinatorial description of the invariant factors associated with certain sequences of product of matrices, over a local principal ideal domain, under the action of the symmetric group by place permutation. Lascoux and Sch¨utzenberger have defined a permutation on a Young tableau to associate to each Knuth class a right and left key which they have used to give a combinatorial description of a key polynomial. The action of the symmetric group on the sequence of invariant factors generalizes this action of the symmetric group, by Lascoux and Sch¨utzenberger, to Young tableaux of the same shape and weight. As a dual translation, we obtain an action of the symmetric group on words congruent with key-tableaux based on nonstandard pairing of parentheses. | URI: | https://hdl.handle.net/10316/11312 | Direitos: | openAccess |
Aparece nas coleções: | FCTUC Matemática - Vários |
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Ficheiro | Descrição | Tamanho | Formato | |
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Key polynomials, invariant factors.pdf | 194.72 kB | Adobe PDF | Ver/Abrir |
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