Xiao-Wu Chen

activity

20032005

most citedRepresentations and Cocycle Twists of Color Lie Algebras

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math-ph2005

Note on The Cohomology of Color Hopf and Lie Algebras

Xiao-Wu Chen, Toukaiddine Petit, Freddy Van Oystaeyen

Let $A$ be a $(G, χ)$ -Hopf algebra with bijection antipode and let $M$ be a $G$ -graded $A$ -bimodule. We prove that there exists an isomorphism \mathrm{HH}^*_{\rm gr}(A, M)\cong{\rm…

math.RT2004★ 3 cited

Representations and Cocycle Twists of Color Lie Algebras

Xiao-Wu Chen, Sergei D. Silvestrov, Fred van Oystaeyen

We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-propert…

math.RT2004

Dual Gabriel Theorem with applications

Xiao-Wu Chen, Hua-Lin Huang, Pu Zhang

We introduce the quiver of a bicomodule over a cosemisimple coalgebra. Applying this to the coradical $C_{0}$ of an arbitrary coalgebra $C$ , we give an alternative definition of the…

math.QA2003

Monomial Hopf Algebras

Xiao-Wu Chen, Hua-Lin Huang, Yu Ye +1

Let $K$ be a field of characteristic 0 containing all roots of unity. We classify all the Hopf structures on monomial $K$ -coalgebras, or, in dual version, on monomial $K$ -algebras.