Quantum Borcherds-Bozec algebras and their integrable representations

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Kang, Seok-Jin¹  Kim, Young Rock² 

[1] Korea Res Inst Arts & Math, Asan 31551, Chungcheongnam, South Korea

[2] Hankuk Univ Foreign Studies, Grad Sch Educ, Seoul 02450, South Korea

关键词: Quantum Borcherds-Bozec algebra;    Triangular decomposition;    Integrable representation;    Character formula;    Complete reducibility;   

DOI  :  10.1016/j.jpaa.2020.106388

来源: Elsevier

【 摘 要 】

We investigate the fundamental properties of quantum Borcherds-Bozec algebras and their representations. Among others, we prove that the quantum Borcherds-Bozec algebras have a triangular decomposition and the category of integrable representations is semi-simple. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free