Classical limit of quantum Borcherds-Bozec algebras

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:225

Article

Fan, Zhaobing¹  Kang, Seok-Jin²  Kim, Young Rock³  Tong, Bolun¹ 

[1] Harbin Engn Univ, Harbin, Peoples R China

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

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

关键词: Quantum Borcherds-Bozec algebra;    Classical limit;    Commutation relation;    Borcherds-Bozec algebra;   

DOI  :  10.1016/j.jpaa.2020.106502

来源: Elsevier

【 摘 要 】

Let g be a Borcherds-Bozec algebra, U(g) be its universal enveloping algebra and U-q (g) be the corresponding quantum Borcherds-Bozec algebra. We show that the classical limit of U-q(g) is isomorphic to U(g) as Hopf algebras. Thus, U-q(g) can be regarded as a quantum deformation of U(g). We also provide explicit formulas for the commutation relations among the generators of U-q(g). (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free