Kazhdan constants and isomorphic graph pairs

• Datum: 2023
• Hauptverfasser: Davila, M., Hayes, T., Krebs, M., Reyes, M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2023
• Schlagworte: Kazhdan constant; representation theory; 05C25; 20C15
• Online Zugang: 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...