Citation
Mohammed, Nadia Faiq and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini
(2016)
Contractions of low dimensional complex associative algebras.
In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8).
Abstract
Contraction is one of the most important concepts that play an important role from the mathematical and physical point of view. In this work, the contractions of complex associative algebras are considered. We focus on the variety A2(ℂ) that consisting of all associative algebras of dimension two over the complex numbers ℂ (including nonunital). Various contractions criteria are collected and new criteria are proposed to test the possible existence of contraction for each pair of associative algebras. As a result, we prove that the variety A2(ℂ) has three irreducible components, two of dimension 2 and one of dimension 4.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4972166 |
| Publisher: | AIP Publishing |
| Keywords: | Contraction; Associative algebras |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 24 Oct 2017 09:04 |
| Last Modified: | 24 Oct 2017 09:04 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972166 |
| URI: | http://psasir.upm.edu.my/id/eprint/57647 |
| Statistic Details: | View Download Statistic |
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