3 papers
math.RT2025
On the theory of -characters for quantum affine superalgebras of type
Sin-Myung Lee
We develop the theory of -characters for quantum affine superalgebras of type in connection with deformed Cartan matrices. To achieve this, we establish a Khoroshkin-Tolstoy…
math.RT2023
Oscillator representations of quantum affine orthosymplectic superalgebras
Jae-Hoon Kwon, Sin-Myung Lee, Masato Okado
We introduce a category of -oscillator representations over the quantum affine superalgebras of type and construct a new family of its irreducible representations. Motivated…
math.RT2020
Super duality for quantum affine algebras of type
Jae-Hoon Kwon, Sin-Myung Lee
We introduce a new approach to the study of finite-dimensional representations of the quantum group of the affine Lie superalgebra $\mathrm{L}\mathfrak{gl}_{M|N}=\mathbb{C}[t,t^{-1…