Xuan Zhou

activity

20112018

most citedHeisenberg double as braided commutative Yetter-Drinfel'd module algebra over Drinfel'd double in multiplier Hopf algebra case

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.RA2018

A Class of Quasitriangular Group-cograded Multiplier Hopf Algebras

Tao Yang, Xuan Zhou, Haixin Zhu

For a multiplier Hopf algebra pairing $⟨ A, B ⟩$ , we construct a class of group-cograded multiplier Hopf algebras $D (A, B)$ , generalizing the classical construction of f…

math.RA2013

Generalized Yetter-Drinfel'd module categories for regular multiplier Hopf algebras

Tao Yang, Xuan Zhou

For a regular multiplier Hopf algebra $A$ , the Yetter-Drinfel'd module category $_{A} YD^{A}$ is equivalent to the centre $Z (_{A} M)$ of the unital left $A$ -m…

math.RA2011

Transmutation Theory and Quantization Approach for Quantum Groupoids

Xuan Zhou, Tao Yang

Let $H$ and $L$ be quantum groupoids. If $H$ has a quasitriangular structure, then we show that $L$ induces a Hopf algebra $C_{L} (L_{s})$ in the category $_{H} M$ , which gen…

math.RA2011★ 2 cited

Heisenberg double as braided commutative Yetter-Drinfel'd module algebra over Drinfel'd double in multiplier Hopf algebra case

Tao Yang, Xuan Zhou, Juzhen Chen

Based on a pairing of two regular multiplier Hopf algebras $A$ and $B$ , Heisenberg double $H$ is the smash product $A # B$ with respect to the left regular action of $B$ …