Commuting Ordinary Differential Operators and the Dixmier Test

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2019
• Автори: Previato, E., Rueda, S.L., Zurro, M.-A.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2019
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210287
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Commuting Ordinary Differential Operators and the Dixmier Test / E. Previato, S.L. Rueda, M.-A. Zurro // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 46 назв. — англ.

The Burchnall-Chaundy problem is classical in differential algebra, seeking to describe all commutative subalgebras of a ring of ordinary differential operators whose coefficients are functions in a given class. It received less attention when posed in the (first) Weyl algebra, namely for polynomial...