Dongho Moon

activity

20012016

most citedPlanar Rook Algebras and Tensor Representations of gl(1|1)

6 citations · 10 across the 4 of their papers we have counts for

collaborators

5 papers

math.RT2016

Walks on Graphs and Their Connections with Tensor Invariants and Centralizer Algebras

Georgia Benkart, Dongho Moon

The number of walks of $k$ steps from the node $0$ to the node $λ$ on the representation graph (McKay quiver) determined by a finite group $G$ and a $G$ -…

math.RT2014

A Schur-Weyl Duality Approach to Walking on Cubes

Georgia Benkart, Dongho Moon

Walks on the representation graph $R_{V} (G)$ determined by a group $G$ and a $G$ -module $V$ are related to the centralizer alg…

math.CO2013

The Combinatorics of $A_{2}$ -webs

Georgia Benkart, Soojin Cho, Dongho Moon

The nonelliptic $A_{2}$ -webs with $k$ " $+$ "s on the top boundary and $3 n - 2 k$ " $-$ "s on the bottom boundary combinatorially model the space $\mathsf{Hom}_{\mathfrak{sl}_3}(\m…

math.RT2012★ 6 cited

Planar Rook Algebras and Tensor Representations of gl(1|1)

G. Benkart, D. Moon

We establish a connection between planar rook algebras and tensor representations $\VV^{\otimes k}$ of the natural two-dimensional representation $\VV$ of the general linear Lie su…

math.QA2001★ 4 cited

Highest weight vectors of irreducible representations of the quantum superalgebra U_q(gl(m,n))