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Quasi-Hereditary Endomorphism Algebras

Published online by Cambridge University Press:  20 November 2018

V. Dlab ,
P. Heath  and
F. Marko
V. Dlab
Affiliation:
Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6 e-mail:[email protected]
P. Heath
Affiliation:
Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6 e-mail:[email protected]
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Abstract

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Quasi-hereditary algebras were introduced by Cline-Parshall-Scott (see [CPS] or [PS]) to deal with highest weight categories which occur in the study of semi-simple complex Lie algebras and algebraic groups. In fact, the quasi-hereditary algebras which appear in these applications enjoy a number of additional properties. The objective of this brief note is to describe a class of lean quasi-hereditary algebras [ADL] which possess such typical characteristics. A study of these questions originated in collaboration with C. M. Ringel (see [DR]).

Keywords

16D9916P9916S99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 421 - 428
Copyright
Copyright © Canadian Mathematical Society 1995

References

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[DJ Dlab, V., Quasi-hereditary algebras, Appendix to Drozd, Y. A. and Kirichenko, V. V., Finite dimensional algebras, Springer-Verlag, 1993.Google Scholar
[DR] Dlab, V. and Ringel, C. M., Quasi-hereditary endomorphism algebras, Abstracts Amer. Math. Soc, January 1991,58.Google Scholar
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