New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras

Journal Article · Sat Nov 15 04:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4901136· OSTI ID:22403044

Zhang, Xiaohui; Wang, Shuanhong ^[1]

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1. Department of Mathematics, Southeast University, Jiangsu, Nanjing 210096 (China)

In order to construct a class of new braided crossed G-categories with nontrivial associativity and unit constraints, we study the G-graded monoidal category over a family of algebras (H{sub α}){sub α∈G} and introduce the notion of a weak (co)quasi-Turaev G-(co)algebra. Then we prove that the category of (co)representations of (co)quasitriangular weak (co)quasi-Turaev π-(co)algebras is exactly a braided crossed G-category. In fact, this (co)quasitriangular structure provides a solution to a generalized quantum Yang-Baxter type equation.

• OSTI ID: 22403044
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
EQUATIONS
GROUP THEORY
MATHEMATICAL SOLUTIONS
QUANTUM GROUPS