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Dergiler / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Lie Algebra of Unit Tangent Bundle in Minkowski 3-Space

Murat BEKAR
Sayfa
1–8
Yayın Tarihi
2022-10-18
DOI
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In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and
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Temel Bulgular & Veri:In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and
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Sonuç & Katkı:In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lie algebra · pseudo-rotation (boost) · split semi-quaternion

Abstract

In this paper, a one-to-one correspondence between the set of unit split semi-quaternions and

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Bu Makaleye Atıf Yap

BEKAR, M. (2022). Lie Algebra of Unit Tangent Bundle in Minkowski 3-Space. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 1–8. https://ajindex.com/articles/539649

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Kaynakça (17)

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  4. Abłamowicz, R. and Fauser, B., On the Transposition Anti-Involution in Real Clifford Algebras II: Stabilizer Groups of Primitive Idempotents, Linear Multilinear A, 59 (2011), 1359-1381
  5. Abłamowicz, R. and Fauser, B., On the Transposition Anti-Involution in Real Clifford Algebras III: The Automorphism Group of the Transposition Scalar Product on Spinor Spaces, Linear Multilinear A, 60 (2012), 621-644
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  8. Bekar, M. and Yayli, Y., Lie Aigebra of Unit Tangent Bundle, Adv. Appl. Clifford Algebras, 27 (2017), 965–975
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  11. Hahn, A. J., Quadratic Algebras, Clifford Algebras and Arithmetic Witt Groups, Springer-Verlag, New York, 1994
  12. Hamilton, W. R., On a New Species of Imaginary Quantities Connected with the Theory of Quaternions, P. Roy. Irish Academy, 2 (1844), 424-434
  13. Jafari, M., Split Semi-Quaternions Algebra in Semi-Euclidean 4-Space, Cumhuriyet Science Journal, 36 36 (2015), 70–77
  14. Kuipers, J. B., Quaternions and Rotation Sequences. Princeton University Press, New Jersey, 1999
  15. Kula, L. and Yayli, Y., Split Quaternions and Rotations in Semi-Euclidean Space E^4_2, J. Korean Math. Soc., 6 (2007), 1313-1327
  16. Lopez, R., Differential Geometry of Curves and Surfaces in Lorentz-Minkowski Space, Int. Electron. J. Geom., 7 (2014), 44-107
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