Skip to main content
Log in

Cohomology of Algebras of Dihedral Type. I

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

A technique which is associated with the Benson―Carlson diagrammatic method is developed. Using this technique, we describe the Yoneda algebras of the algebras that constitute a series of algebras of dihedral type. We also describe the Ext-algebras of simple modules over the algebras considered. Bibliography: 6 titles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. K. Erdmann, “Algebras and dihedral defect groups,” Proc. London Math. Soc., 54, No. 1, 88–114 (1987).

    Google Scholar 

  2. K. Erdmann, “Blocks of tame representation type and related algebras,” Lect. Notes Math., 1428, Springer-Verlag, Berlin-New York (1990).

    Google Scholar 

  3. O. I. Balashov and A. I. Generalov, “Yoneda algebras for some class of dihedral algebras,” Vestn. St. Petersburg Univ., Ser. 1, 3, No. 15, 3–10 (1999).

    Google Scholar 

  4. D. J. Benson and J. F. Carlson, “Diagrammatic methods for modular representations and cohomology,” Commun. Algebra, 15, No. 1/2, 53–121 (1987).

    Google Scholar 

  5. S. MacLane, Homology, Springer-Verlag, Berlin (1963)

    Google Scholar 

  6. K. Erdmann, “Principal blocks of groups with dihedral Sylow 2-subgroups,” Commun. Algebra, 5, 665–694 (1997).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Generalov, A.I. Cohomology of Algebras of Dihedral Type. I. Journal of Mathematical Sciences 112, 4318–4331 (2002). https://doi.org/10.1023/A:1020338801963

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020338801963

Keywords

Navigation