双线性形式矩阵的极小通用形变
表示论
2012-12-14 v3
摘要
V.I. Arnold [Russian Math. Surveys 26 (2) (1971) 29-43] 构造了矩阵在相似变换下的极小通用形变；即一个简单的标准形，不仅给定的方阵 ，而且所有与 接近的矩阵 都可以通过依赖于 元素的光滑相似变换化为该标准形。我们构造了矩阵在合同变换下的极小通用形变。
引用
@article{arxiv.1004.3584,
title = {Miniversal deformations of matrices of bilinear forms},
author = {Andrii R. Dmytryshyn and Vyacheslav Futorny and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:1004.3584},
year = {2012}
}
备注
39 pages. The first version of this paper was published as Preprint RT-MAT 2007-04, Universidade de Sao Paulo, 2007, 34 p. The work was done while the second author was visiting the University of Sao Paulo supported by the Fapesp grants (05/59407-6 and 2010/07278-6). arXiv admin note: substantial text overlap with arXiv:1105.2160