Weak polynomial identities of small degree for the Weyl algebra

التفاصيل البيبلوغرافية
العنوان: Weak polynomial identities of small degree for the Weyl algebra
المؤلفون: Lopatin, Artem, Palma, Carlos Arturo Rodriguez, Tang, Liming
المصدر: Communications in Mathematics, Volume 33 (2025), Issue 1 (March 27, 2024) cm:13107
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Rings and Algebras
الوصف: In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and 5. We also describe weak polynomial identities is two variables.
Comment: 16 pages. arXiv admin note: text overlap with arXiv:2309.12795
نوع الوثيقة: Working Paper
DOI: 10.46298/cm.13107
URL الوصول: http://arxiv.org/abs/2402.14799
رقم الأكسشن: edsarx.2402.14799
قاعدة البيانات: arXiv