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Lorentzian matrix multiplication and the motions on Lorentzian plane

Halit Gündogan
Osman Kecilioglu


Puni tekst: engleski pdf 209 Kb

str. 329-334

preuzimanja: 779

citiraj


Sažetak

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.

Ključne riječi

Lorentz space; rotation; reflection

Hrčak ID:

5858

URI

https://hrcak.srce.hr/5858

Datum izdavanja:

9.12.2006.

Posjeta: 1.345 *