A COMPUTER-AIDED STUDY OF THE GRADED LIE-ALGEBRA OF A LOCAL COMMUTATIVE NOETHERIAN RING

[摘要] We initiate a systematic study of the homotopy Lie algebra g, of a local commutative noetherian ring R. Particular emphasis is put on the sub Lie algebra n(R), generated by elements of degree 1. The computer is used in an essential way to detect new phenomena and new structure results, which are then proved by hand calculations. In Appendix B (by Clas Lofwall) it is proved that in many cases (including many examples encountered in this paper) g, is a nice semi-direct product of n(R) by means of a free graded Lie algebra.

[发布日期] 1994-01-17