The Real Jacobi Group Revisited

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Berceanu, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210292
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Real Jacobi Group Revisited / S. Berceanu // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 113 назв. — англ.

The real Jacobi group GJ₁(ℝ), defined as the semi-direct product of the group SL(2, ℝ) with the Heisenberg group H₁, is embedded in a 4×4 matrix realisation of the group Sp(2, ℝ). The left-invariant one-forms on GJ₁(ℝ) and their dual orthogonal left-invariant vector fields are calculated in the S-co...