105 citations · 123 across the 12 of their papers we have counts for
13 papers
Quiver data of representations of Hecke algebras and Coxeter groups
Zhi Chen
Let Gamma be a Coxeter matrix and q be a generic parameter, let Hq (Gamma) be the Iwahori-Hecke algebra. We propose a concept H-representation of type [Gamma;q], which are represen…
Many Three Dimensional Objects Inspired From Finite Groups
Zhi Chen
Starting from considering deeper relationship between conjugacy classes and irreducible representations of a finite group , we find some quite simple matrice defined by usin…
Partitions of the polytope of Doubly Substochastic Matrices
Lei Cao, Zhi Chen
In this paper, we provide three different ways to partition the polytope of doubly substochastic matrices into subpolytopes via the prescribed row and column sums, the sum of all e…
On the maximum of the permanent of (I-A)
Zhi Chen, Lei Cao
Let A be an n by n doubly substochastic matrix and denote σ(A) the sum of all elements of A. In this paper we give the upper bound of the permanent of (I-A) with respect to n and σ…
Birman-Murakami-Wenzl type algebras for arbitrary Coxeter systems
Zhi Chen
In this paper we first present a Birman-Murakami-Wenzl type algebra for every Coxeter system of rank 2 (corresponding to dihedral groups). We prove they have semisimple for generic…
Identities involving weighted Catalan, Schroder and Motzkin paths
Zhi Chen, Hao Pan
In this paper, we investigate the weighted Catalan, Motzkin and Schröder numbers together with the corresponding weighted paths. The relation between these numbers is illustrated b…