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
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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/