On 2-dimensional invariant subspaces of matrices
Year: 2026
Type: preprint
Abstract: We introduce a unified method for study of 2-dimensional invariant subspaces of matrices and their corresponding super-eigenvalues. As a novel application to non-commutative algebra, we present a connection between the eigenvalues of matrices with entries in the ring Mat_2(F) and 2-dimensional invariant subspaces of matrices with entries in the field F.
Source: arXiv (Cornell University)
Authors: Al-Raisi, Omar, Shahryari, Mohammad
Institution: Sultan Qaboos University
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7125848644
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