The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Almeida, Guilherme F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211166
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Differential Geometry of the Orbit Space of Extended Affine Jacobi Group A₁. Guilherme F. Almeida. SIGMA 17 (2021), 022, 39 pages

We define certain extensions of Jacobi groups of A₁, prove an analogue of the Chevalley theorem for their invariants, and construct a Dubrovin-Frobenius structure on their orbit space.