Geodesic
Radicals of symmetric cellular algebras
Yanbo Li1
1 School of Mathematics and Statistics Northeastern University at Qinhuangdao Qinhuangdao, 066004, P.R. China
Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 67-83.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For a symmetric cellular algebra, we study properties of the dual basis of a cellular basis first. Then a nilpotent ideal is constructed. The ideal connects the radicals of cell modules with the radical of the algebra. It also yields some information on the dimensions of simple modules. As a by-product, we obtain some equivalent conditions for a finite-dimensional symmetric cellular algebra to be semisimple.
DOI : 10.4064/cm133-1-5
Keywords: symmetric cellular algebra study properties dual basis cellular basis first nilpotent ideal constructed ideal connects radicals cell modules radical algebra yields information dimensions simple modules by product obtain equivalent conditions finite dimensional symmetric cellular algebra semisimple

Yanbo Li 1

1 School of Mathematics and Statistics Northeastern University at Qinhuangdao Qinhuangdao, 066004, P.R. China 
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Yanbo Li. Radicals of symmetric cellular algebras. Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 67-83. doi : 10.4064/cm133-1-5. http://geodesic.mathdoc.fr/articles/10.4064/cm133-1-5/

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