Degeneration and complexity of bilinear maps: Some asymptotic spectra.
Degeneration and complexity of bilinear maps: Some asymptotic spectra.
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双线性映射的退化和复杂性：一些渐近谱。
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
V. Strassen
中科院分区：
文献类型：
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作者：
V. Strassen
设k是一个代数闭域。我们研究有限维铁向量空间之间的双线性映射。当映射/可以用g的同态副本以任意精度逼近时，映射/被称为映射g的退化。更确切地说，首先假设/和g都是映射U χ V - * W，群g = GL(U)xGL(V)xGL(W)（理性地）作用于双线性映射h: U χ V - >w的向量空间
Let k be an algebraically closed field. We study bilinear maps / between finite dimensional fe-vector spaces. A map / is called a degeneration of a map g when, roughly speaking, / may be approximated with arbitrary precision by isomorphic copies of g. More precisely, suppose first that / and g are both maps U χ V—* W. The group G = GL(U)xGL(V)xGL(W) acts (rationally) on the vectorspace of bilinear maps h : U χ V -> W via