4 papers
math.GM2023
Canonical forms for a class of pairs of commuting nilpotent matrices under simultaneous similarity
Jiuzhao Hua
We present canonical forms for all indecomposable pairs of commuting nilpotent matrices over an arbitrary field under simultaneous similarity, where is the direct sum o…
math.RT2023
Canonical forms for pairs of commuting nilpotent matrices under simultaneous similarity
Jiuzhao Hua
We provide a list of canonical forms for all pairs of commuting nilpotent matrices over an algebraically closed field under simultaneous similarity.
math.RT2021
Counting Representations of Quivers Respecting Nilpotent Relations over Finite Fields
Bangming Deng, Jiuzhao Hua
This paper presents analogous results of Hua [7][8] on numbers of representations of quivers over finite fields which respect nilpotent relations under certain assumptions. A close…
math.RT2021
On Numbers of Tuples of Nilpotent Matrices over Finite Fields under Simultaneous Conjugation
Jiuzhao Hua
The problem of classifying tuples of nilpotent matrices over a field under simultaneous conjugation is considered "hopeless". However, for any given matrix order over a finite fiel…