Geodesic
Alpha-Determinant Cyclic Modules of gln(C)
Journal of Lie theory, Tome 16 (2006) no. 2, pp. 393-405 Cet article a éte moissonné depuis la source Heldermann Verlag

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The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of $\frak{gl}_n({\Bbb C})$ defined by the alpha-determinant. The degeneracy of the irreducible decomposition is determined by the content polynomial of a given partition.
Classification : 06B15, 15A15
Mots-clés : Schur module, Young symmetrizer, permanent, Frobenius notation, irreducible decomposition, cyclic module 
@article{JLT_2006_16_2_JLT_2006_16_2_a10,
     author = {S. Matsumoto and M. Wakayama },
     title = {Alpha-Determinant {Cyclic} {Modules} of {gl\protect\textsubscript{n}(C)}},
     journal = {Journal of Lie theory},
     pages = {393--405},
     year = {2006},
     volume = {16},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_2_JLT_2006_16_2_a10/}
}
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S. Matsumoto; M. Wakayama . Alpha-Determinant Cyclic Modules of gln(C). Journal of Lie theory, Tome 16 (2006) no. 2, pp. 393-405. http://geodesic.mathdoc.fr/item/JLT_2006_16_2_JLT_2006_16_2_a10/