1 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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.
A refinement of the Kac polynomials for quivers with enough loops
Jiuzhao Hua
A conjecture of Kac now a theorem asserts that the polynomial now known as the Kac polynomial, which counts the isomorphism classes of absolutely indecomposable representations of…
Some Identities in Quantum Torus Arising from Ringel-Hall Algebras
Jiuzhao Hua
We define two classes of representations of quivers over arbitrary fields, called monomorphic representations and epimorphic representations. We show that every representation has…
Counting Semistable Representations of Quivers over Finite Fields
Jiuzhao Hua
In this paper, we derive a closed formula for the number of isomorphism classes of absolutely indecomposable semistable representations of an arbitrary quiver over a finite field w…
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…
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…