Radicals of symmetric cellular algebras

• Autorzy: Yanbo Li
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16N20: Jacobson radical, quasimultiplication
• 16G30: Representations of orders, lattices, algebras over commutative rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 133
• Numer: 1
• Strony: 67-83

Daty

wydano

2013

Twórcy

autor

Yanbo Li

• School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, P.R. China

Identyfikatory

DOI

10.4064/cm133-1-5