Exponential Formulas and Lie Algebra Type Star Products

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• ISSN: 1815-0659
• Main Authors: Meljanac, S., Škoda, Z., Svrtan, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148390
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exponential Formulas and Lie Algebra Type Star Products / S. Meljanac, Z. Škoda, D. Svrtan // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 22 назв. — англ.

Given formal differential operators Fi on polynomial algebra in several variables x₁,…,xn, we discuss finding expressions Kl determined by the equation exp(∑ixiFi)(exp(∑jqjxj))=exp(∑lKlxl) and their applications. The expressions for Kl are related to the coproducts for deformed momenta for the nonco...