Euler angles for G2

Details Euler angles for G2 Euler angles for G2

2005-03-11

arxiv.org/abs/hep-th/0503106v2

J.Math.Phys. 46 (2005) 083512

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 2 figures, some misprints corrected

Scientific paper

10.1063/1.1993549

We provide a simple parametrization for the group G2, which is analogous to the Euler parametrization for SU(2). We show how to obtain the general element of the group in a form emphasizing the structure of the fibration of G2 with fiber SO(4) and base H, the variety of quaternionic subalgebras of octonions. In particular this allows us to obtain a simple expression for the Haar measure on G2. Moreover, as a by-product it yields a concrete realization and an Einstein metric for H.

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