二元外代数对应的线性矩阵问题

Linear matrix problem associated to the exterior algebra in two variables

设(H,M)是对应于二元外代数Λ=k〈x,y〉/(x2,xy+yx,y2)的线性矩阵问题,利用Belitskii算法得到Mn中的n×n不可分解矩阵在Hn-相似变换下的典范形的具体形式.

Let（H,M） be a linear matrix problem associated to the exterior algebra Λ=k〈x,y〉/（x2,xy＋yx,y2）.Based on Belitskii′s algorithm we got the canonical form of indecomposable n×n matrices in R（H,M） under Hn-similarity transformations in this paper.