Hilbert Series of ₃-Quasi-Invariant Polynomials in Characteristics 2, 3

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Wang, Frank, Yee, Eric
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213519
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hilbert Series of ₃-Quasi-Invariant Polynomials in Characteristics 2, 3. Frank Wang and Eric Yee. SIGMA 21 (2025), 057, 24 pages

We compute the Hilbert series of the space of = 3 variable quasi-invariant polynomials in characteristic 2 and 3, capturing the dimension of the homogeneous components of the space, and explicitly describe the generators in the characteristic 2 case. In doing so, we extend the work of the first aut...