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ABSTRACT
It is known that preprojective algebras are related to the McKay quiver of the finite subgroups of . In this note we relate two algebras to the McKay quiver of a finite subgroup of
for any
. Some properties of the McKay quiver are also studied with these algebras.
Acknowledgments
This work was done while J.Y. Guo was visiting the Instituto de Matematicas, UNAM of Mexico. He would like to thank Prof. R. Martínez-Villa and the Institute for the hospitality. The authors thank the referee for suggestions and comments, and for correcting the mistakes in the previous version. The work of J. Y. Guo is supported by Natural Science Foundation of China #19871025 .