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Cellular algebras and quasi-hereditary algebras: a comparison
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Cellular algebras and quasi-hereditary algebras: a comparison
Steffen König and Changchang Xi
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.
Copyright 1999 American Mathematical Society
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Article Info
- ERA Amer. Math. Soc. 05 (1999), pp. 71-75
- Publisher Identifier: S 1079-6762(99)00063-3
- 1991 Mathematics Subject Classification. Primary 16D80, 16G30, 20C30, 20G05;
Secondary 16D25, 18G15, 20F36, 57M25, 81R05
- Key words and phrases.
- Received by the editors March 15, 1999
- Posted on June 24, 1999
- Communicated by Dave Benson
- Comments (When Available)
Steffen König
Fakultät für Mathematik,
Universität Bielefeld,
Postfach 100131,
D-33501 Bielefeld,
Germany
E-mail address: koenig@mathematik.uni-bielefeld.de
Changchang Xi
Department of Mathematics,
Beijing Normal University,
100875 Beijing, P. R. China
E-mail address: xicc@bnu.edu.cn
The research of C.C. Xi was partially supported by NSF of China
(No. 19831070).
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