Back
 OJAppS  Vol.2 No.4 B , December 2012
Description of the derived categories of tubular algebras in terms of dimension vectors
Abstract: In this paper, we give a description of the derived category of a tubular algebra by calculating the dimension vectors of the objects in it.
Cite this paper: nullLv, H. and Wang, Z. (2012) Description of the derived categories of tubular algebras in terms of dimension vectors. Open Journal of Applied Sciences, 2, 179-182. doi: 10.4236/ojapps.2012.24B041.
References

[1]   C.M.Ringel, Tame algebras and integral quadratic forms, Lecture Notes in Math. 1099. Springer Verlag, 1984.

[2]   D.Happel, Triangulated categories in the representation theory of finite dimensional algebras, Lecture Notes series 119. Cambridge Univ. Press, 1988.

[3]   D.Happel, On the derived category of a finite-dimensional algebra. Comment. Math. Helv. 62(1987), 339_389.

[4]   D.Happel, C.M.Ringel, The derived category of a tubular algebra. LNM1273, Berlin-Heidelbelrg-NewYork: Springer-Verlag, 1986:156_180.

[5]   W.Crawley-Boevey, Lectures on Representations of Quivers. Preprint.

 
 
Top