TY  - JOUR
T1  - Lie Algebra of Unit Tangent Bundle in Minkowski 3-Space
AU  - Bekar, Murat
PY  - 2019
DA  - March
DO  - 10.36890/iejg.545737
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 1
EP  - 8
VL  - 12
IS  - 1
LA  - en
AB  - In this paper, a one-to-one correspondence between the set of unit split semi-quaternions andunit tangent bundle of semi-Euclidean plane is given. It is shown that the set of unit split semiquaternionsbased on the group operation of multiplication is a Lie group. The Lie algebra ofthis group, consisting of the vector space matrix of the angular velocity vectors, is also considered.Planar rotations in Euclidean plane are expressed using split semi-quaternions. Some examples aregiven to illustrate the findings.
KW  - Lie algebra
KW  - pseudo-rotation (boost)
KW  - split semi-quaternion
KW  - unit tangent bundle
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UR  - https://doi.org/10.36890/iejg.545737
L1  - https://dergipark.org.tr/en/download/article-file/681602
ER  -