Kazhdan constants and isomorphic graph pairs

• Дата: 2023
• Автори: Davila, M., Hayes, T., Krebs, M., Reyes, M.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2023
• Теми: Kazhdan constant; representation theory; 05C25; 20C15
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1851
• Назва журналу: Algebra and Discrete Mathematics

Let \(G\) be a finite group, and let \(\Gamma\) be a~subset of \(G\). The Kazhdan constant of the pair \((G,\Gamma)\) is defined to be the maximum distance we can guarantee that an arbitrary unit vector in an arbitrary nontrivial irreducible unitary representation space of \(G\) can be moved by some...