Abstract
In this paper, we present a classification of quadratic homogeneous automorphisms in dimension 5 up to linear conjugation. As a consequence, we give an affirmative answer to the Rusek Conjecture in dimension 5.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The author wishes to thank the referee for his suggestions and thank Professor Jiping Zhang and Professor Xiankun Du for their help and encouragement.
This work was supported by the Basic Scientific Research Fund of Ministry of Education of China, “985 Project” and “211 Project” of Jilin University.
Notes
Communicated by J.-T. Yu.