activity
20052023
most citedWeak Hopf algebras corresponding to Cartan matrices

15 citations · 30 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2023

-Coxeter matrix and -Cartan matrix for a homogeneous bound quiver

Shilin Yang

The aim of this paper is to introduce the concept of -Coxeter transformation and -Coxeter matrix for a connected acyclic bound quiver with a homogeneous relations $I…

math.RA2018★ 7 cited

Grothendieck Rings of 2 dimensional Hopf Algebras

Jialei Chen, Shilin Yang, Dingguo Wang

In this paper, we construct the Grothendieck ring of a class of 2-dimension semisimple Hopf Algebras , which can be viewed as a generalization of the 8-dimension Kac…

math.RA2018★ 4 cited

On -dimensional neither pointed nor semisimple Hopf algebras and the associated weak Hopf algebras

Jialei Chen, Shilin Yang, Dingguo Wang +1

For a class of neither pointed nor semisimple Hopf algebras of dimension , it is shown that they are quasi-triangular, which universal -matrices are described. The…

math.RT2011

Generalized McKay Quivers, Root System and Kac-Moody Algebras

Bo Hou, Shilin Yang

Let be a finite quiver and $G\subseteq\Aut(\mathbbm{k}Q)$ a finite abelian group. Assume that and is the generalized Mckay quiver and the valued graph correspondi…

math.RT2011

A Categorification of the Spin Representation of $U(\mf{so}(7,\C))$ via Projective Functors

Yongjun Xu, Shilin Yang

The purpose of this paper is to study a categorification of the -th tensor power of the spin representation of $U(\mf{so}(7,\C))$ by using certain singular blocks and projective…

math.RT2010

Skew group algebras of deformed preprojective algebras

Bo Hou, Shilin Yang

Suppose that is a finite quiver and $G\subseteq \Aut(Q)$ is a finite group, is an algebraic closed field whose characteristic does not divide the order of . For any alge…