Geodesic
Representation theory of $q$-rook monoid algebras.
Journal of Algebraic Combinatorics, Tome 24 (2006) no. 3, pp. 239-252.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show that, over an arbitrary field, $q$-rook monoid algebras are iterated inflations of Iwahori-Hecke algebras, and, in particular, are cellular. Furthermore we give an algebra decomposition which shows a $q$-rook monoid algebra is Morita equivalent to a direct sum of Iwahori-Hecke algebras. We state some of the consequences for the representation theory of $q$-rook monoid algebras.
Keywords: keywords rook monoid, cellular algebra, iwahori-Hecke algebra, representation 
@article{JAC_2006__24_3_a6,
     author = {Paget, Rowena},
     title = {Representation theory of $q$-rook monoid algebras.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {239--252},
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     number = {3},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2006__24_3_a6/}
}
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Paget, Rowena. Representation theory of $q$-rook monoid algebras.. Journal of Algebraic Combinatorics, Tome 24 (2006) no. 3, pp. 239-252. http://geodesic.mathdoc.fr/item/JAC_2006__24_3_a6/