36 citations · 53 across the 18 of their papers we have counts for
17 papers
Power-integral matrices over number fields: the Drazin inverse, pseudo-determinant, and numerical semigroups
Theo Chinn, Junshu Feng, Stephan Ramon Garcia +1
We investigate matrices with entries in a number field such that some positive power has all its entries in the corresponding ring of integers. Our work generalizes previous result…
Centralizers, Clifforders, Polynomial Equivalence and -equivalence of Matrices
Hechun Zhang, Chengyi Zhu
This paper is devoted to the study of the centralizer and the clifforder of matrices over a field of characteristic zero, together with the quasi-commutative relations…
Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations
Arsh Chhabra, Stephan Ramon Garcia, Fangqian Zhang +1
Our aim in this paper is to initiate the study of exponent semigroups for rational matrices. We prove that every numerical semigroup is the exponent semigroup of some rational matr…
Representations of Quantum Coordinate Algebras at Generic and Wiring Diagrams
He Zhang, Hechun Zhang, Ruibin Zhang
This paper is devoted to the representation theory of quantum coordinate algebra , for a semisimple Lie group and a generic parameter . By inspecting the ac…
Automorphisms and representations of quasi Laurent polynomial algebras
He Zhang, Hechun Zhang, Ruibin Zhang
We study automorphisms and representations of quasi polynomial algebras (QPAs) and quasi Laurent polynomial algebras (QLPAs). For any QLPA defined by an arbitrary skew symmetric in…
Composition Series of Tensor Product
Bin Li, Hechun Zhang
Given a quantized enveloping algebra and a pair of dominant weights (, ), we extend a conjecture raised by Lusztig in \cite{Lusztig:1992}to a more general…