This is the first-year progress report of
my research project "Rationality problem and
Galois theorey (1/3)". What we have finished
are
(1) to study the invariants of Weyl
algebras ; see:
Generation of invariants, J. Algebra
221 (1999) 232~241。
(2) to study the rationality problem of
a projective linear automorphism ; see:
Rationality of some projective linear
actions, J. Algebra 228 (2000)
643~658。
(3) to study the history and the recent
progress of Tsen's Theorem
