References
A. A.Beilinson, J.Bernstein et P.Deligne, Faisceaux pervers. Astérique100 (1982).
E. Cline, B. Parshall andL. Scott, Finite dimensional algebras and highest weight categories. J. Reine Angew. Math391, 85–99 (1988).
V.Dlab and C. M.Ringel, Quasi-hereditary algebras. To appear.
P. Gabriel, Auslander-Reiten sequences and representation-finite algebras. LNM831, 1–71, Berlin-Heidelberg-New York 1980.
E. L. Green, Remarks on projective resolutions. LNM832, 259–279, Berlin-Heidelberg-New York 1980.
E. L. Green, D. Happel andD. Zacharia, Projective resolutions over artin algebras. Illinois J. Math.29, 180–190 (1985).
D. Happel, On the derived category of a finite-dimensional algebra. Comment. Math. Helv.62, 339–389 (1987).
E.Kirkman and J.Kuzmanovich, Algebras with large homological dimensions. Preprint.
B.Parshall and L.Scott, Derived categories, Quasi-hereditary algebras, and Algebraic groups. Math. Lecture Notes Ser.3, Ottawa 1988.
A. Schofield, Bounding the global dimension in terms of dimension. Bull. London Math. Soc.17, 393–394 (1985).
C. M.Ringel, Tame algebras and integral quadratic forms. LNM1099, Berlin-Heidelberg-New York 1984.
N. N.Vorob'ev, Fibonacci Numbers. New York 1961.
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Happel, D. A family of algebras with two simple modules and Fibonacci numbers. Arch. Math 57, 133–139 (1991). https://doi.org/10.1007/BF01189999
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DOI: https://doi.org/10.1007/BF01189999