Projective Resolutions and Yoneda Algebras for Algebras of Dihedral Type

by Generalov, Alexander; Kosmatov, Nikolai

This paper provides a method for the computation of Yoneda algebras for algebras of dihedral type. The Yoneda algebras for one infinite family of algebras of dihedral type (the family $D(3\mathcal R)$ in K. Erdmann’s notation) are computed. The minimal projective resolutions of simple modules were calculated by an original computer program implemented by one of the authors in C++ language. The algorithm of the program is based on a diagrammatic method presented in this paper and inspired by that of D. Benson and J. Carlson.

DOI: 10.1007/s10468-006-9012-7
Online Date: 9/15/2006
Print publication date: 6/1/2007
View article on SpringerLink

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