D. Grantcharov

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

Simple $sl_{2}$ -modules that are torsion free $U (h)$ -modules of rank $1$

Dimitar Grantcharov, Libor Krizka, Volodymyr Mazorchuk

We provide an explicit classification of all simple $sl_{2}$ -modules that are torsion free of rank $1$ over the Cartan subalgebra. We also establish a similar result for t…

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

Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator

Vyacheslav Futorny, Dimitar Grantcharov, Luis Enrique Ramirez +1

We provide an explicit combinatorial realization of all simple and injective (hence, and projective) modules in the category of bounded $sp (2 n)$ -modules. This realizatio…

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

Simple sl2​-modules that are torsion free U(h)-modules of rank 1

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

Exponential modules of osp(1∣2)

Explicit realization of bounded modules for symplectic Lie algebras: spinor versus oscillator

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

Simple $sl_{2}$ -modules that are torsion free $U (h)$ -modules of rank $1$

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

Exponential modules of $osp (1∣2)$