导代数DA_n的一些性质

Some properties of derivative algebra DA n

给出非零特征域上导代数ＤＡｎ的一些性质，得到了ＤＡｎ关于Ｂｅｒｎｓｔｅｉｎ滤子的Ｒｅｅｓ代数的结构，以及它关于阶滤子的分次代数与Ｒｅｅｓ代数的结构，并由此给出了ＤＡｎ与Ｌｉｅ代数。

In this paper we give some properties of the derivative algebra DA n over the field K of nonzero characteristic.We get the structure of Rees algebra of DA n with respect to Bernstein filtration.The structure of graded and Rees algebra with respect to order filtration,the relationship of DA n with Lie algebra and quadratic algebra are also presented.