The Exponential Map for Hopf Algebras

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• ISSN: 1815-0659
• Hauptverfasser: Alhamzi, Ghaliah, Beggs, Edwin
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211528
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Exponential Map for Hopf Algebras. Ghaliah Alhamzi and Edwin Beggs. SIGMA 18 (2022), 017, 17 pages

We give an analogue of the classical exponential map on Lie groups for Hopf ∗-algebras with differential calculus. The major difference with the classical case is the interpretation of the value of the exponential map, classically an element of the Lie group. We give interpretations as states on the...