| | |
| | |
Stat |
Members: 3645 Articles: 2'501'711 Articles rated: 2609
19 April 2024 |
|
| | | |
|
Article overview
| |
|
Noncommutative Algebraic Equations and Noncommutative Eigenvalue Problem | Albert Schwarz
; | Date: |
12 Apr 2000 | Journal: | Lett.Math.Phys. 52 (2000) 177-184 | Subject: | High Energy Physics - Theory; Rings and Algebras | hep-th math.RA | Affiliation: | UCDavis | Abstract: | We analyze the perturbation series for noncommutative eigenvalue problem $AX=Xlambda$ where $lambda$ 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 $U(1)^k$). | Source: | arXiv, hep-th/0004088 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |