Representations of linear groups over \(\widetilde{A}_2\)-algebras

• Дата: 2018
• Автор: Timoshin, Anatoliy S.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: unitary representations; linear groups; Euclidean algebras; matrix problems; small reduction; 20G05,22E45,16G20
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1005
• Назва журналу: Algebra and Discrete Mathematics

In the space of irreducible unitary representations of a linear group over an algebra of type \(\widetilde{A}_2\)  an open dense subset of representations in the general position is singled out. This set is identified, up to simple direct factors, with the space of representations of a full linear g...