Radicals of symmetric cellular algebras
Colloquium Mathematicae (2013)
- Volume: 133, Issue: 1, page 67-83
- ISSN: 0010-1354
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topYanbo Li. "Radicals of symmetric cellular algebras." Colloquium Mathematicae 133.1 (2013): 67-83. <http://eudml.org/doc/284106>.
@article{YanboLi2013,
abstract = {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.},
author = {Yanbo Li},
journal = {Colloquium Mathematicae},
keywords = {radicals of cell modules; symmetric cellular algebras; cellular bases; Gram matrices},
language = {eng},
number = {1},
pages = {67-83},
title = {Radicals of symmetric cellular algebras},
url = {http://eudml.org/doc/284106},
volume = {133},
year = {2013},
}
TY - JOUR
AU - Yanbo Li
TI - Radicals of symmetric cellular algebras
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 1
SP - 67
EP - 83
AB - 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.
LA - eng
KW - radicals of cell modules; symmetric cellular algebras; cellular bases; Gram matrices
UR - http://eudml.org/doc/284106
ER -
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