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Straightening and the Stanley Decomposition for the (2;n)-nilpotent Vectorfield

机译：矫正和（2; n） - 幂零向量场的stanley分解

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The authors give an algorithm for finding the normal form of formal power series vectorfields on (R sup 2n) whose linear terms are the nilpotent matrix made up of 2x2 Jordan blocks. The problem is reduced to finding the Stanley decomposition of a bracket algebra, which is then determined using a straightening algorithm. The 4- and 6-dimensional case are explicitly worked out.

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作者
White, N. ; Cushman, R. ; Sanders, J. A.;
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年度 1987
页码 1-25
总页数 25
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Nonlinear differential equations; Matrices(Mathematics); Power series; Polynomials; Group theory; Algorithms; Theorems;

机译：非线性微分方程;矩阵（数学）;幂级数;多项式;群论;算法;定理;

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专利

1. The Return Map for a Planar VectorField with Nilpotent Linear Part: A Direct andExplicit Derivation [J] . Rodica D. Costin International journal of mathematics and mathematical sciences . 2009,第5期

机译：具有幂等线性部分的平面VectorField的返回图：直接和显式推导
2. Block Stanley decompositions I. Elementary and gnomon decompositions [J] . Murdock James, Murdock Theodore Journal of pure and applied algebra . 2015,第6期

机译：阻止Stanley分解I.基本分解和gnomon分解
3. Block Stanley decompositions I. Elementary and gnomon decompositions [J] . Murdock James, Murdock Theodore Journal of pure and applied algebra . 2015,第6期

机译：阻止Stanley分解I.基本分解和gnomon分解
4. On Simultaneously Nilpotent Fuzzy Matrices over Max-nilpotent Operations [C] . Yang Wen-Wei, Liu Chia-Cheng, Wen Ching-Feng, 2012 Fifth International Joint Conference on Computational Sciences and Optimization . 2012

机译：最大幂等运算上的同时幂等模糊矩阵
5. On the elementary theories of free nilpotent Lie algebras and free nilpotent groups. [D] . Sohrabi, Mahmood. 2009

机译：关于自由幂零李代数和自由幂零群的基本理论。
6. A Note on Decomposing a Square Matrix as Sum of Two Square Nilpotent Matrices over an Arbitrary Field [O] . Xiaofei Song, Baodong Zheng, Chongguang Cao 2013

机译：关于将平方矩阵分解为任意场上两个平方幂幂矩阵之和的注记
7. STANLEY DECOMPOSITIONS AND POLARIZATION [O] . Sarfraz Ahmad 2016

机译：斯坦利分解和极化

Straightening and the Stanley Decomposition for the (2;n)-nilpotent Vectorfield

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