Turkish Journal of Mathematics
Author ORCID Identifier
OSMAN KEÇİLİOĞLU: 0000-0002-5149-5221
İLAYDA DURMAZ: 0009-0003-7413-5995
HALİT GÜNDOĞAN: 0000-0002-5806-2090
Abstract
In this paper, we define the multiplicative determinant for general n×n matrices, extending previous studies that were limited to lower-dimensional cases. Additionally, we introduce a novel matrix multiplication operation based on the multiplicative Lorentz inner product and conduct a thorough investigation of its algebraic properties. Furthermore, we explore rotational and reflectional transformations in the two-dimensional multiplicative Lorentz space L*2, supported by illustrative examples of these geometric motions.
DOI
10.55730/1300-0098.3649
Keywords
Multiplicative Lorentz space, rotation, reflection
First Page
252
Last Page
264
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
KEÇİLİOĞLU, O, DURMAZ, İ, & GÜNDOĞAN, H (2026). Multiplicative Lorentz matrix multiplication and the motion on multiplicative Lorentz plane. Turkish Journal of Mathematics 50 (2): 252-264. https://doi.org/10.55730/1300-0098.3649
