The Ribbon Elements of the Quantum Double of Generalized Taft–Hopf Algebra

Autor: Hua Sun, Yuyan Zhang, Ziliang Jiang, Mingyu Huang, Jiawei Hu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 12, p 1802 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12121802
Popis: Let s, t be two positive integers and k be an algebraically closed field with char (k)∤st. We show that the Drinfeld double D(⋀st,t*cop) of generalized Taft–Hopf algebra ⋀st,t*cop has ribbon elements if and only if t is odd. Moreover, if s is even and t is odd, then D(⋀st,t*cop) has two ribbon elements, and if both s and t are odd, then D(⋀st,t*cop) has only one ribbon element. Finally, we compute explicitly all ribbon elements of D(⋀st,t*cop).
Databáze: Directory of Open Access Journals
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje