An Algebra of Elliptic Commuting Variables and an Elliptic Extension of the Multinomial Theorem

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• ISSN: 1815-0659
• 1. Verfasser: Schlosser, Michael J.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/213524
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: An Algebra of Elliptic Commuting Variables and an Elliptic Extension of the Multinomial Theorem. Michael J. Schlosser. SIGMA 21 (2025), 052, 15 pages

We introduce an algebra of elliptic commuting variables involving a base , nome , and 2 noncommuting variables. This algebra, which for = 1 reduces to an algebra considered earlier by the author, is an elliptic extension of the well-known algebra of -commuting variables. We present a multinomial t...