Hadi Salmasian

activity

20242026

collaborators

8 papers

math.QA2026

The disoriented skein and iquantum Brauer categories

Hadi Salmasian, Alistair Savage, Yaolong Shen

We develop a diagrammatic approach to the representation theory of the quantum symmetric pairs corresponding to orthosymplectic Lie superalgebras inside general linear Lie superalg…

math.RT2026

Classification of irreducible real modules of real Lie superalgebras

Siddhartha Sahi, Hadi Salmasian, Vera Serganova

We classify irreducible finite-dimensional modules of a collection of real Lie superalgebras that includes the simple ones, their classical variants, complex Lie superalgebras afte…

math.CO2026

Counting $F_{q}$ -points of orbital varieties in ad-nilpotent ideals of type $A_{n}$

Mohammad Bardestani, Keivan Mallahi-Karai, Samrith Ram +1

Let $b_{n} (F_{q})$ denote the Lie algebra of upper triangular $n \times n$ matrices over the finite field $F_{q}$ , and let $u_{n} (F_{q})$ be the ni…

math.RT2026

Classifying submodules over monoidal categories

Hadi Salmasian, Alistair Savage, Yaolong Shen

We study the classification of submodules of module categories over monoidal categories, extending ideas of Coulembier on the classification of tensor ideals in monoidal categories…

math.RT2025

Radial restriction of spherical functions on supergroups

Mitra Mansouri, Hadi Salmasian

Using the Hopf superalgebra structure of the enveloping algebra $U (g)$ of a Lie superalgebra $= Lie (G)$ , we give a purely algebraic treatment of $K$ -bi-i…

math.RT2024

The refined solution to the Capelli eigenvalue problem for $gl (m ∣ n) \oplus gl (m ∣ n)$ and $gl (m ∣2 n)$

Mengyuan Cao, Monica Nevins, Hadi Salmasian

Let $g$ be either the Lie superalgebra $gl (V) \oplus gl (V)$ where $V := C^{m ∣ n}$ or the Lie superalgebra $gl (V)$ where $V:=\mathbb C^…