Geodesic
Cellular algebras and quasi-hereditary algebras: a comparison
König, Steffen1 ; Xi, Changchang2
1 Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
2 Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China
Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 71-75 Cet article a éte moissonné depuis la source American Mathematical Society

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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.
DOI : 10.1090/S1079-6762-99-00063-3

König, Steffen 1 ; Xi, Changchang 2

1 Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
2 Department of Mathematics, Beijing Normal University, 100875 Beijing, P. R. China 
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König, Steffen; Xi, Changchang. Cellular algebras and quasi-hereditary algebras: a comparison. Electronic research announcements of the American Mathematical Society, Tome 05 (1999), pp. 71-75. doi: 10.1090/S1079-6762-99-00063-3

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