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k-fold anti-invariant subspaces of a linear mapping

✍ Scribed by Frieder Knüppel; Klaus Nielsen

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
173 KB
Volume
375
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let π be a linear bijection on a finite-dimensional vector space and k 0 an integer. A subspace T is called a k-fold anti-invariant subspace if

We find the maximal dimension of such subspaces T .

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✍ Shoon K. Kim 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 911 KB

A theory of representation for a finite group G has been presented based on the basis functions defined on a set of equivalent points S'"' with respect to the symmetry operations of G. The general expressions are given for the symmetry-adapted linear combinations of equivalent invariant functions an