Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2015
• ISSN: 1815-0659
• Автори: Gutiérrez Frez, L., Pantoja, J.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2015
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147110
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Weil Representation of a Generalized Linear Group over a Ring of Truncated Polynomials over a Finite Field Endowed with a Second Class Involution / L. Gutiérrez Frez, J. Pantoja // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 17 назв. — англ.

We construct a complex linear Weil representation ρ of the generalized special linear group G=SL¹∗(2,An) (An=K[x]/⟨xⁿ⟩, K the quadratic extension of the finite field k of q elements, q odd), where An is endowed with a second class involution. After the construction of a specific data, the representa...