Noncommutative Algebraic Equations and Noncommutative Eigenvalue Problem
| dc.creator | Schwarz, Albert | |
| dc.date | 2000-04-12 | |
| dc.date | 2000-04-27 | |
| dc.date.accessioned | 2026-07-07T04:09:45Z | |
| dc.date.available | 2026-07-07T04:09:45Z | |
| dc.description | We analyze the perturbation series for noncommutative eigenvalue problem $AX=Xλ$ 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 $x^r$ where $x$ is a solution of noncommutative algebraic equation (for $r=1$ this theorem was proved by Aschieri, Brace, Morariu, and Zumino, hep-th/0003228, and used to study Born-Infeld lagrangian for the gauge group $U(1)^k$). | |
| dc.description | 8 pages. Misprints corrected, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0004088 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0004088 | |
| dc.identifier | Lett.Math.Phys. 52 (2000) 177-184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/49976 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Rings and Algebras | |
| dc.title | Noncommutative Algebraic Equations and Noncommutative Eigenvalue Problem | |
| dc.type | text |