Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Faitg, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210311
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modular Group Representations in Combinatorial Quantization with Non-Semisimple Hopf Algebras / M. Faitg // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 39 назв. — англ.

Let Σg,n be a compact oriented surface of genus g with n open disks removed. The algebra Lg,n(H) was introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche and is a combinatorial quantization of the moduli space of flat connections on Σg,n. Here we focus on the two building blocks L₀,₁(H) and L...