A construction for quasi-hereditary algebras

Vlastimil Dlab; Claus Michael Ringel

Compositio Mathematica (1989)

  • Volume: 70, Issue: 2, page 155-175
  • ISSN: 0010-437X

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Dlab, Vlastimil, and Ringel, Claus Michael. "A construction for quasi-hereditary algebras." Compositio Mathematica 70.2 (1989): 155-175. <http://eudml.org/doc/89959>.

@article{Dlab1989,
author = {Dlab, Vlastimil, Ringel, Claus Michael},
journal = {Compositio Mathematica},
keywords = {tensor algebra; quasi-hereditary rings; heredity ideal; good filtrations; heredity chain; quasi-hereditary finite dimensional algebra; simple modules; bimodule homomorphism},
language = {eng},
number = {2},
pages = {155-175},
publisher = {Kluwer Academic Publishers},
title = {A construction for quasi-hereditary algebras},
url = {http://eudml.org/doc/89959},
volume = {70},
year = {1989},
}

TY - JOUR
AU - Dlab, Vlastimil
AU - Ringel, Claus Michael
TI - A construction for quasi-hereditary algebras
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 70
IS - 2
SP - 155
EP - 175
LA - eng
KW - tensor algebra; quasi-hereditary rings; heredity ideal; good filtrations; heredity chain; quasi-hereditary finite dimensional algebra; simple modules; bimodule homomorphism
UR - http://eudml.org/doc/89959
ER -

References

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  2. [BBD] Beilinson, A., Bernstein, J. and Deligne, P., Faisceaux pervers, Asterisque100 (1983). Zbl0536.14011
  3. [BGG] Bernstein, J., Gelfand, I. and Gelfand, S., Category of g-modules, Funct. Anal. Appl.10 (1976), 87-92. Zbl0353.18013
  4. [CPS] Cline, E., Parshall, B. and Scott, L., Finite dimensional algebras and highest weight categories (To appear), J. Reine Angew. Math. Zbl0657.18005MR961165
  5. [DR] Dlab, V. and Ringel, C.M., Quasi-hereditary algebras (To appear), Ill. J. Math. Zbl0666.16014MR987824
  6. [MV] MacPherson, R. and Vilonen, K., Elementary construction of perverse sheaves, Inv. Math.84 (1986), 403-435. Zbl0597.18005MR833195
  7. [Me] Mebkhout, Z., Une équivalence des catégories. Une autre équivalence des catégories, Comp. Math.51 (1984), 51-88. Zbl0566.32021MR734784
  8. [MiV] Mirollo, R. and Vilonen, K., Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves. Ann. Scient. Éc. Norm. Sup. 4e série 20 (1987), 311-324. Zbl0651.14010MR925719
  9. [P] Parshall, B.J., Finite dimensional algebras and algebraic groups (To appear). Zbl0682.20029MR982281
  10. [PS] Parshall, B.J. and Scott, L.L., Derived categories, quasi-hereditary algebras, and algebraic groups (To appear). Zbl0711.18002
  11. [S] Scott, L.L., Simulating algebraic geometry with algebra I: Derived categories and Morita theory, Proc. Symp. Pure Math., Amer. Math. Soc., Providence47 (1987), part 1, 271-282. Zbl0659.20038MR933417

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