Geometry of the non-compact G(2)

JOURNAL OF GEOMETRY AND PHYSICS

卷:144

Article

Gogberashvili, Merab^1,2  Gurchumelia, Alexandre¹ 

[1] Javakhishvili Tbilisi State Univ, 3 Chavchavadze Ave, GE-0179 Tbilisi, Georgia

[2] Andronikashvili Inst Phys, 6 Tamarashvili St, GE-0177 Tbilisi, Georgia

关键词: Non-compact lie group G2;    Casimir operators;    Extra time-like dimension;   

DOI  :  10.1016/j.geomphys.2019.06.015

来源: Elsevier

【 摘 要 】

Geometrical applications of the non-compact form of Cartan's exceptional Lie group G(2) are considered. This group comprises specific rotations of 7-dimensional Minkowski-like space with three extra time-like coordinates and in some limiting cases imitates standard Poincare transformations. In this model space-time translations are non-commutative and are represented by the rotations towards the extra time-like coordinates. The second order Casimir element of non-compact G(2) and its expression by the Casimir operators of the Lorentz and Poincare groups are found. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free