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.

Share and Cite:

Lv, 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.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.