Explicit Newton's Formulas for gln
Explicit Newton's Formulas for gln
复制标题
gln 的显式牛顿公式
DOI：
10.1006/jabr.1998.7510
复制
发表时间：
1998
影响因子：
0.9
通讯作者：
M. Itoh
中科院分区：
文献类型：
--
作者：
M. Itoh
- 是的已知李代数n n的泛包络代数U的中心同构于n元对称多项式环。除此之外，对中心线的研究也更加深入。的美国我们知道至少有两套具体的发电机的中心：n w x一个是一套卡佩利元素Ca 1这是表示的wx行列式;另一个是什么Gelfand给在Ge使用的痕迹。前者是相当特殊的，并已被充分研究，作为一个模型n
Ž. center of the universal enveloping algebra U of the Lie algebra n n is known to be isomorphic to the ring of symmetric polynomials of n variables. Besides this fact, more details have been studied on the center Ž. of U. We know at least two concrete sets of generators of the center: n w x one is the set of Capelli elements Ca1 which is expressed by the wx determinant; the other is what Gelfand gave in Ge using the trace. The former is rather special to and has been well investigated as a model n