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- Title
ON THE REALIZABILITY OF THE SPECIAL LINEAR GROUP OVER THE MULTIVARIATE LAURENT POLYNOMIAL RING.
- Authors
MIME, RANIA; BOUDAOUD, FATIMA
- Abstract
We present an algorithm to determine the realization of matrices in SL2 over the multivariate Laurant polynomial ring R[x± 1, ..., x± k ]. For this we have to generalize Park's algorithm. Thus the purpose is to express a matrix in SL2(R[x± 1, ..., x± k ]) as a product of elementary matrices. Furthermore, we extend this algorithm to some specific matrices in SL3(R[x± 1, ..., x± k ]). To illustrate our results, some examples are studied using special software which implements the proposed algorithms.
- Subjects
POLYNOMIAL rings; MATRIX multiplications; LAURENT series
- Publication
Mathematica (1222-9016), 2024, Vol 66, Issue 1, p123
- ISSN
1222-9016
- Publication type
Article
- DOI
10.24193/mathcluj.2024.1.11