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Cellular algebras and quasi-hereditary algebras: a comparison
Author(s):
Steffen
König;
Changchang
Xi
Journal:
Electron. Res. Announc. Amer. Math. Soc.
5
(1999),
71-75.
MSC (1991):
Primary 16D80, 16G30, 20C30, 20G05;
Secondary 16D25, 18G15, 20F36, 57M25, 81R05
Posted:
June 24, 1999
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Abstract:
Cellular algebras have been defined in a computational way by the existence of a special kind of basis. We compare them with quasi-hereditary algebras, which are known to carry much homological and categorical structure. Among the properties to be discussed here are characterizations of quasi-hereditary algebras inside the class of cellular algebras in terms of vanishing of cohomology and in terms of positivity of the Cartan determinant.
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Additional Information:
Steffen
König
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
Email:
koenig@mathematik.uni-bielefeld.de
Changchang
Xi
Affiliation:
Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China
Email:
xicc@bnu.edu.cn
DOI:
10.1090/S1079-6762-99-00063-3
PII:
S 1079-6762(99)00063-3
Received by editor(s):
March 15, 1999
Posted:
June 24, 1999
Additional Notes:
The research of C.C. Xi was partially supported by NSF of China (No. 19831070).
Communicated by:
Dave Benson
Copyright of article:
Copyright
1999,
American Mathematical Society
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