Spectra of Compact Quotients of the Oscillator Group

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автори: Fischer, Mathias, Kath, Ines
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211298
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Spectra of Compact Quotients of the Oscillator Group. Mathias Fischer and Ines Kath. SIGMA 17 (2021), 051, 48 pages

This paper is a contribution to harmonic analysis of compact solvmanifolds. We consider the four-dimensional oscillator group Osc₁, which is a semi-direct product of the three-dimensional Heisenberg group and the real line. We classify the lattices of Osc₁ up to inner automorphisms of Osc₁. For ever...