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http://hdl.handle.net/10662/9057
| Title: | Subspaces of real four-dimensional lie algebras: a classification of subalgebras, ideals, and full-rank subspaces |
| Authors: | Biggs, Rory Remsing, Claudiu C. |
| Keywords: | Lie algebra;Subspace;Subalgebra;Ideal;Álgebra de Lie;Subespacio;Subalgebra |
| Issue Date: | 2015 |
| Publisher: | Universidad de Extremadura |
| Abstract: | We classify the subspaces of each real four-dimensional Lie algebra, up to automorphism. Enumerations of the subalgebras, ideals, and full-rank (or bracket generating) subspaces are obtained. Also, the interplay between quotients (resp. extensions) of algebras and such classifications is briefly considered. |
| URI: | http://hdl.handle.net/10662/9057 |
| Appears in Collections: | Extracta Mathematicae Vol. 30, nº 1 (2015) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_30_1_41.pdf | 269,93 kB | Adobe PDF | View/Open |
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