Semantic Scholar Open Access 2000 7 sitasi

Noncommutative Algebraic Equations and the Noncommutative Eigenvalue Problem

A. Schwarz

Abstrak

We analyze the perturbation series for the noncommutative eigenvalue problem AX=X λ, where λ is an element of a noncommutative ring, A is a matrix, and X is a column vector with entries from this ring. As a corollary, we obtain a theorem about the structure of perturbation series for Tr xr where x is a solution of a noncommutative algebraic equation (for r=1 this theorem was proved by Aschieri, Brace, Morariu, and Zumino (hep-th/0003228), and used to study the Born–Infeld Lagrangian for the gauge group U(1)k).

Topik & Kata Kunci

Physics Mathematics

Penulis (1)

A. Schwarz

Format Sitasi

APA MLA BibTeX

Schwarz, A. (2000). Noncommutative Algebraic Equations and the Noncommutative Eigenvalue Problem. https://doi.org/10.1023/A:1007624505615

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Informasi Jurnal

Tahun Terbit: 2000
Bahasa: en
Total Sitasi: 7×
Sumber Database: Semantic Scholar
DOI: 10.1023/A:1007624505615
Akses: Open Access ✓