Huajun Huang

activity

20072021

most citedSymmetrization of Principal Minors and Cycle-Sums

6 citations · 9 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2021

Maps preserving trace of products of matrices

Huajun Huang, Ming-Cheng Tsai

We prove the linearity and injectivity of two maps $ϕ_{1}$ and $ϕ_{2}$ on certain subsets of $M_{n}$ that satisfy $tr (ϕ_{1} (A) ϕ_{2} (B)) = tr (A B)$ . We apply it to…

math.RT2020

On triangular similarity of nilpotent triangular matrices

Ming-Cheng Tsai, Meaza Bogale, Huajun Huang

Let $B_{n}$ (resp. $U_{n}$ , $N_{n}$ ) be the set of $n \times n$ nonsingular (resp. unit, nilpotent) upper triangular matrices. We use a novel approach to explore the $B_{n}$ -similarity orbi…

math.RT2016★ 2 cited

Derivations of the Lie algebra of strictly block upper triangular matrices

Prakash Ghimire, Huajun Huang

Let $N$ be the Lie algebra of all $n \times n$ strictly block upper triangular matrices over a field $F$ relative to a given partition. In this paper, we give a…

math.RA2016

Trace and determinant preserving maps of matrices

Huajun Huang, Chih-Neng Liu, Patricia Szokol +2

Suppose a map $ϕ$ on the set of positive definite matrices satisfies $det (A + B) = det (ϕ (A) + ϕ (B))$ . Then we have $tr (A B^{- 1}) = tr (ϕ (A) ϕ (B)^{- 1}) .$ Through this viewp…

math.RA2015★ 1 cited

Derivations of Lie Algebras of Dominant Upper Triangular Ladder Matrices

Prakash Ghimire, Huajun Huang

We explicitly describe the Lie algebras $M_{L}$ of ladder matrices in $M_{n}$ associate with dominant upper triangular ladders $L$ , and completely characterize the derivations of these…

math.AG2015★ 6 cited

Symmetrization of Principal Minors and Cycle-Sums

Huajun Huang, Luke Oeding

We solve the Symmetrized Principal Minor Assignment Problem, that is we show how to determine if for a given vector $v \in C^{n}$ there is an $n \times n$ matrix that has al…