Bach Nguyen

activity

20162023

most citedThe Deligne-Simpson problem for connections on

G_{m}

with a maximally ramified singularity

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

collaborators

9 papers

math.AG2023

Explicit constructions of connections on the projective line with a maximally ramified irregular singularity

Neal Livesay, Daniel S. Sage, Bach Nguyen

The Deligne--Simpson problem is an existence problem for connections with specified local behavior. Almost all previous work on this problem has restricted attention to connections…

math.RT2022★ 1 cited

Poisson geometry and Azumaya loci of cluster algebras

Greg Muller, Bach Nguyen, Kurt Trampel +1

There are two main types of objects in the theory of cluster algebras: the upper cluster algebras $U$ with their Gekhtman-Shapiro-Vainshtein Poisson brackets…

math.AG2021★ 3 cited

The Deligne-Simpson problem for connections on $G_{m}$ with a maximally ramified singularity

Maitreyee C. Kulkarni, Neal Livesay, Jacob P. Matherne +2

The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections with residues at the singular points in specified adjoint orbits. Crawley-Boevey fo…

math.QA2020★ 3 cited

Root of unity quantum cluster algebras and discriminants

Bach Nguyen, Kurt Trampel, Milen Yakimov

We describe a connection between the subjects of cluster algebras, polynomial identity algebras and discriminants. For this, we define the notion of root of unity quantum cluster a…

math.RA2019

Actions of cocommutative Hopf algebras

Martin Lorenz, Bach Nguyen, Ramy Yammine

Let $H$ be a cocommutative Hopf algebra acting on an algebra $A$ . Assuming the base field to be algebraically closed and the $H$ -action on $A$ to be integral, that is, it is given…

math.RT2019★ 2 cited

On the Adjoint Representation of a Hopf Algebra

Stefan Kolb, Martin Lorenz, Bach Nguyen +1

We consider the adjoint representation of a Hopf algebra $H$ focusing on the locally finite part, $H_{adfin}$ , defined as the sum of all finite-dimensional subrepresentation…

math.AC2017

Irreducibility of the Cayley-Menger determinant, and of a class of related polynomials

Mowaffaq Hajja, Mostafa Hayajneh, Bach Nguyen +1

If $S$ is a given regular $n$ -simplex, $n \geq 2$ , of edge length $a$ , then the distances $a_{1}$ , $\dots$ , $a_{n + 1}$ of an arbitrary point in its affine hull to its vertices are rel…

math.MG2016

Distances from the vertices of a regular simplex

Mowaffaq Hajja, Mostafa Hayajneh, Bach Nguyen +1

If $S$ is a given regular $d$ -simplex of edge length $a$ in the $d$ -dimensional Euclidean space $E$ , then the distances $t_{1}$ , $\dots$ , $t_{d + 1}$ of an arbitrary point i…

math.RA2016

Noncommutative discriminants via Poisson primes