The Primitive Derivation and Discrete Integrals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Suyama, Daisuke, Yoshinaga, Masahiko
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211311
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Primitive Derivation and Discrete Integrals. Daisuke Suyama and Masahiko Yoshinaga. SIGMA 17 (2021), 038, 9 pages

The modules of logarithmic derivations for the (extended) Catalan and Shi arrangements associated with root systems are known to be free. However, except for a few cases, explicit bases for such modules are not known. In this paper, we construct explicit bases for type root systems. Our constructio...