Intertwinings for Continuum Particle Systems: an Algebraic Approach

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Floreani, Simone, Jansen, Sabine, Wagner, Stefan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212261
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Intertwinings for Continuum Particle Systems: an Algebraic Approach. Simone Floreani, Sabine Jansen and Stefan Wagner. SIGMA 20 (2024), 046, 21 pages

We develop the algebraic approach to duality, more precisely to intertwinings, within the context of particle systems in general spaces, focusing on the (1, 1) current algebra. We introduce raising, lowering, and neutral operators indexed by test functions, and we use them to construct unitary opera...