Projective resolutions and Yoneda algebras for algebras of dihedral type: the family $D(3\mathcal Q)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 65-89

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $D(3\mathcal Q)$ 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.
@article{FPM_2004_10_4_a5,
     author = {A. I. Generalov and N. V. Kosmatov},
     title = {Projective resolutions and {Yoneda} algebras for algebras of dihedral type: the family $D(3\mathcal Q)$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {65--89},
     publisher = {mathdoc},
     volume = {10},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a5/}
}
TY  - JOUR
AU  - A. I. Generalov
AU  - N. V. Kosmatov
TI  - Projective resolutions and Yoneda algebras for algebras of dihedral type: the family $D(3\mathcal Q)$
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2004
SP  - 65
EP  - 89
VL  - 10
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a5/
LA  - ru
ID  - FPM_2004_10_4_a5
ER  - 
%0 Journal Article
%A A. I. Generalov
%A N. V. Kosmatov
%T Projective resolutions and Yoneda algebras for algebras of dihedral type: the family $D(3\mathcal Q)$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2004
%P 65-89
%V 10
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a5/
%G ru
%F FPM_2004_10_4_a5
A. I. Generalov; N. V. Kosmatov. Projective resolutions and Yoneda algebras for algebras of dihedral type: the family $D(3\mathcal Q)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 4, pp. 65-89. http://geodesic.mathdoc.fr/item/FPM_2004_10_4_a5/