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Gr\'{o}bner-Shirshov bases for metabelian Lie algebras
- Source :
- Journal of Algebra, 358 (2012), 143-161
- Publication Year :
- 2011
-
Abstract
- In this paper, we establish the Gr\"{o}bner-Shirshov bases theory for metabelian Lie algebras. As applications, we find the Gr\"{o}bner-Shirshov bases for partial commutative metabelian Lie algebras related to circuits, trees and some cubes.<br />Comment: 20 pages
- Subjects :
- Mathematics - Rings and Algebras
17B01, 16S15, 13P10
Subjects
Details
- Database :
- arXiv
- Journal :
- Journal of Algebra, 358 (2012), 143-161
- Publication Type :
- Report
- Accession number :
- edsarx.1106.2362
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2012.02.027