Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-26T04:44:41.991Z Has data issue: false hasContentIssue false
  • English
  • Français

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:vdlab@math.carleton.ca
P. Heath
Affiliation:
Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario, K1S 5B6 e-mail:pheath@math.carleton.ca
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

[ADL] Àgoston, I., Dlab, V. and E. Lukács, Lean quasi-hereditary algebras, CMS Conf. Proc. 13(1993), 1–14.Google Scholar
[CPS] Cline, E., Parshall, B. J. and Scott, L. L., Finite dimensional algebras and highest weight categories, J. Reine Angew. Math. 391(1988), 85–99.Google Scholar
[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
[PS] Parshall, B. J. and Scott, L. L., Derived categories, quasi-hereditary algebras and algebraic groups, Proc. Ottawa-Moosonee Workshop, Carleton-Ottawa Math. Lecture Note Ser. 3(1988), 1–105.Google Scholar
[T] Tachikawa, H., Quasi-Frobenius Rings and Generalizations. In: Lecture Notes in Math. 351, Springer- Verlag, 1973.Google Scholar