Soit p un nombre premier et soit n un entier naturel non nul. Nous calculons la série de Loewy descendante de l'algèbre , où désigne l'anneau des caractères virtuels ordinaires du groupe symétrique .
Let p be a prime number and let n be a non-zero natural number. We compute the descending Loewy series of the algebra , where denotes the ring of virtual ordinary characters of the symmetric group .
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@article{CRMATH_2006__342_8_533_0, author = {Bonnaf\'e, C\'edric}, title = {A {Note} on the {Grothendieck} ring of the symmetric group}, journal = {Comptes Rendus. Math\'ematique}, pages = {533--538}, publisher = {Elsevier}, volume = {342}, number = {8}, year = {2006}, doi = {10.1016/j.crma.2006.02.028}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2006.02.028/} }
TY - JOUR AU - Bonnafé, Cédric TI - A Note on the Grothendieck ring of the symmetric group JO - Comptes Rendus. Mathématique PY - 2006 SP - 533 EP - 538 VL - 342 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.02.028/ DO - 10.1016/j.crma.2006.02.028 LA - en ID - CRMATH_2006__342_8_533_0 ER -
Bonnafé, Cédric. A Note on the Grothendieck ring of the symmetric group. Comptes Rendus. Mathématique, Tome 342 (2006) no. 8, pp. 533-538. doi : 10.1016/j.crma.2006.02.028. http://www.numdam.org/articles/10.1016/j.crma.2006.02.028/
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