Algebras of Non-Local Screenings and Diagonal Nichols Algebras

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• Hauptverfasser: Flandoli, Ilaria, Lentner, Simon D.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211527
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Algebras of Non-Local Screenings and Diagonal Nichols Algebras. Ilaria Flandoli and Simon D. Lentner. SIGMA 18 (2022), 018, 81 pages

In a vertex algebra setting, we consider non-local screening operators associated with the basis of any non-integral lattice. We have previously shown that, under certain restrictions, these screening operators satisfy the relations of a quantum shuffle algebra or Nichols algebra associated with a d...