Glasnik matematički, Vol. 41 No. 2, 2006.
Original scientific paper
Lorentzian matrix multiplication and the motions on Lorentzian plane
Halit Gündogan
Osman Kecilioglu
Abstract
In this paper, a new matrix multiplication is defined in Rnm × Rpn by using Lorentzian inner product in Rn, where Rnm is set of matrices of m rows and n columns. With this multiplication it has been shown that Rnn is an algebra with unit. By means of orthogonal matrices with respect to this multiplication, coordinate transformations are defined on n-dimensional Lorentz space Ln. As a special case, motions on L2 Lorentz plane are obtained.
Keywords
Lorentz space; rotation; reflection
Hrčak ID:
5858
URI
Publication date:
9.12.2006.
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