K. Nguyen

collaborators

5 papers

math.RT2026

On $U (h)$ -free modules of finite rank over $sl (2)$

Dimitar Grantcharov, Khoa Nguyen, Kaiming Zhao

We study $sl (2)$ -modules that are free of finite rank over $U (h)$ , where $h$ is a fixed Cartan subalgebra of $sl (2)$ . These modules form a…

math.RT2026

A family of simple $U (h)$ -free modules of rank 2 over $sl (2)$

Dimitar Grantcharov, Khoa Nguyen, Kaiming Zhao

We study simple $sl (2)$ -modules over $C$ that are free of finite rank as $U (h)$ -modules, where $h$ is a Cartan subalgebra of $\mathfrak{sl}(2…

math.RT2025

Exponential modules of $osp (1∣2)$

Dimitar Grantcharov, Khoa Nguyen

We study properties of two families, $E_{+} (g)$ and $E_{-} (g)$ , of non-weight modules over the orthosymplectic Lie superalgebra $osp (1∣2)$ that are parameterized by a nonc…

math.RT2025

On $U (h)$ -free modules over $sl (m ∣ n)$

Ivan Dimitrov, Khoa Nguyen

We study two categories of $U (h)$ -free $sl (m ∣ n)$ -modules of total rank 2: $M_{sl (m ∣ n)} (2)$ , whose objects are free of rank 2 over ${U}(\…

math.RT2025

Generalized permutation matrices and non-weight modules over $sl (m ∣1)$

Ivan Dimitrov, Khoa Nguyen, Charles Paquette +1

We study the category $M_{sl (m ∣1)} (k ∣ k)$ of $U (h) -free$ $U (sl (m ∣1))$ -modules of rank $k$ in each parity (rank $(k…

On U(h)-free modules of finite rank over sl(2)

A family of simple U(h)-free modules of rank 2 over sl(2)

Exponential modules of osp(1∣2)

On U(h)-free modules over sl(m∣n)

Generalized permutation matrices and non-weight modules over sl(m∣1)

On $U (h)$ -free modules of finite rank over $sl (2)$

A family of simple $U (h)$ -free modules of rank 2 over $sl (2)$

Exponential modules of $osp (1∣2)$

On $U (h)$ -free modules over $sl (m ∣ n)$

Generalized permutation matrices and non-weight modules over $sl (m ∣1)$