arXiv subjects

Nguyen Thi Phuong Dung

Publications and source records attributed to Nguyen Thi Phuong Dung.

3 recordsLinked to original sources

arXiv2018

Jacobi-Trudi type formula for character of irreducible representations of $\frak{gl}(m|1)$

We prove a determinantal type formula to compute the irreducible characters of the general Lie superalgebra $\mathfrak{gl}(m|1)$ in terms of the characters of the symmetric powers of the fundamental representation and their duals. This formula was conjectured by J. van der Jeugt and E. Moens for the Lie superalgebra $\frak{gl}(m|n)$ and generalizes the well-known Jacobi-Trudi formula.

math.RT↗

arXiv2011

Construction of Irreducible Representations of the Quantum Super Group $GL_q(3|1)$

In this note, we construct all irreducible representations of the quantum general linear super group $GL_q(3|1)$ using the double Koszul complex.

math.QA↗

arXiv2010

Double Koszul Complex and Construction of Irreducible Representations of $\frak{gl}(3|1)$

The aim of this work is to give a combinatorial way to describe all irreducible representations in case the super-dimension of $V$ is $(3|1)$.

math.RT↗