Geodesic
Homological Duality and Quasi-Heredity
Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 897-917

Voir la notice de l'article provenant de la source Cambridge University Press

This paper represents a general study of the (Yoneda) Ext-algebra A* of a finite dimensional K-algebra A. Our motivation lies in the problem of establishing conditions under which (i) the species of A* coincides with the dual species of A and (ii) the quasi-heredity of A (or A*) yields the quasi-heredity of A* (or A, respectively). These questions are closely related to the Kazhdan—Lusztig Theory as presented by [CPS2]. The main results include introducing the concept of a solid algebra and the relevant Theorem 4.5 as well as a rather complete description of the situation in the case of monomial algebras in Section 5.
DOI : 10.4153/CJM-1996-046-0
Mots-clés : 16E99, 16S99, 17B10 
Ágoston, István; Dlab, Vlastimil. Homological Duality and Quasi-Heredity. Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 897-917. doi: 10.4153/CJM-1996-046-0
@article{10_4153_CJM_1996_046_0,
     author = {\'Agoston, Istv\'an and Dlab, Vlastimil},
     title = {Homological {Duality} and {Quasi-Heredity}},
     journal = {Canadian journal of mathematics},
     pages = {897--917},
     year = {1996},
     volume = {48},
     number = {5},
     doi = {10.4153/CJM-1996-046-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-046-0/}
}
TY  - JOUR
AU  - Ágoston, István
AU  - Dlab, Vlastimil
TI  - Homological Duality and Quasi-Heredity
JO  - Canadian journal of mathematics
PY  - 1996
SP  - 897
EP  - 917
VL  - 48
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-046-0/
DO  - 10.4153/CJM-1996-046-0
ID  - 10_4153_CJM_1996_046_0
ER  - 
%0 Journal Article
%A Ágoston, István
%A Dlab, Vlastimil
%T Homological Duality and Quasi-Heredity
%J Canadian journal of mathematics
%D 1996
%P 897-917
%V 48
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1996-046-0/
%R 10.4153/CJM-1996-046-0
%F 10_4153_CJM_1996_046_0

ADLl Agoston, I., Dlab, V., Lukacs, E., Lean quasi-hereditary algebras, Representations of Algebras. Sixth International Conference, Ottawa. CMS Conference, Proceedings 14(1992), 1–14. Google Scholar

ADL2 Agoston, I., Homological characterization of lean algebras, Manuscripta Mathematica 81(1993), 141–147. Google Scholar

BG Beilinson, A., Ginsburg, V., Mixed categories, Ext-duality and representations (results and conjectures), preprint, Moscow, 1986. Google Scholar

BGS Beilinson, A., Ginsburg, V., Soergel, W., Koszul duality patterns in representation theory, preprint. Google Scholar

CPS1 Cline, E., Parshall, B.J., Scott, L.L., Finite dimensional algebras and highest weight categories, J. Reine Angew., Math. 391(1988), 85–99. Google Scholar

CPS2 Cline, E., Parshall, B.J., Scott, L.L., The homological dual of a highest weight category, Proc. London Math., Soc. 68(1994), 294–316. Google Scholar

DR1 Dlab, V., Ringel, C.M., Quasi-hereditary algebras, Illinois J., Math. 35(1989), 280–291. Google Scholar

DR2 Dlab, V., The module theoretical approach to quasi-hereditary algebras, Representations of Algebras and Related Topics, London Math. Soc. Lecture Note Series, Cambridge Univ., Press 168(1992), 200–224. Google Scholar

DK Drozd, Yu. A., Kirichenko, V.V., Finite dimensional algebras, Appendix on Quasi-hereditary algebras by V. Dlab, Springer-Verlag 1994. Google Scholar

GZ Green, E., Zacharia, D., The cohomology ring of a monomial algebra, Manuscripta, Mathematica 85(1994), 11–23. Google Scholar

PS Parshall, B.J., Scott, L.L., Derived categories, quasi-hereditary algebras, and algebraic groups, Proc. Ottawa-Moosonee Workshop, Carleton-Ottawa Math. Lecture Note, Series 3(1988), 1–105. Google Scholar

Cité par Sources :