Bibliographic Details
| Title: |
Determinantal conditions for homomorphic sensing. |
| Authors: |
Tsakiris, Manolis C.1,2 (AUTHOR) manolis@amss.ac.cn |
| Source: |
Linear Algebra & its Applications. Jan2023, Vol. 656, p210-223. 14p. |
| Subjects: |
Endomorphisms, Senses, Permutations |
| Abstract: |
With k an infinite field and τ 1 , τ 2 endomorphisms of k m , we provide a dimension bound on an open locus of a determinantal scheme, under which, for a general subspace V ⊆ k m of dimension n ≤ m / 2 , for v 1 , v 2 ∈ V we have τ 1 (v 1) = τ 2 (v 2) only if v 1 = v 2. Specializing to permutations composed by coordinate projections, we obtain an abstract proof of the theorem of [10]. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
