Lilit G. Martirosyan

activity

20132026

most citedThe representation theory of the exceptional Lie superalgebras F(4) and G(3)

4 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2026

On the factorization of $x^{d_{r}} + x^{d_{r - 1}} + \dots + x^{d_{2}} + x^{d_{1}} + p$ and a conjecture of C. Nicol

Michael Filaseta, Lilit Martirosyan, London Cameron Swan

For an arbitrary prime $p$ and arbitrary positive integers $r$ and $d_{1}, \dots, d_{r}$ with $d_{r} > \dots > d_{1}$ , we show that $x^{d_{r}} + x^{d_{r-1}} + \cdots + x^{d_{2}}…

math.RT2025

Simple $B_{4}$ representations associated to cyclotomic Hecke algebras

Lilit Martirosyan, Hans Wenzl

We determine the structure of the cyclotomic Hecke algebra corresponding to the complex reflection group $G_{25}$ also when it is not semisimple, as long as the generators are diag…

math.QA2025

Reconstruction of tensor categories of type $G_{2}$

Lilit Martirosyan, Hans Wenzl

We prove that any ribbon tensor category $C$ with the fusion rules of the compact group of type $G_{2}$ is equivalent to the representation category of the corresponding Dr…

math.QA2020

Braid Rigidity for Path Algebras

Lilit Martirosyan, Hans Wenzl

Path algebras are a convenient way of describing decompositions of tensor powers of an object in a tensor category. If the category is braided, one obtains representations of the b…

math.RT2016

Affine $G_{2}$ Centralizer Algebras

Lilit Martirosyan, Hans Wenzl

We show that $End_{U} (V_{λ} \otimes V^{\otimes n})$ is generated by the affine braid group $A B_{n}$ where $U = U_{q} g (G_{2})$ , $V$ is its 7-dimensional irreducible r…

math.RT2013★ 4 cited

The representation theory of the exceptional Lie superalgebras F(4) and G(3)

Lilit Martirosyan

This paper is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so-called {\it{exceptional}} Lie superalgebras F(4) and G(3). The first problem pos…

On the factorization of xdr​+xdr−1​+⋯+xd2​+xd1​+p and a conjecture of C. Nicol

Simple B4​ representations associated to cyclotomic Hecke algebras

Reconstruction of tensor categories of type G2​

Braid Rigidity for Path Algebras

Affine G2​ Centralizer Algebras

The representation theory of the exceptional Lie superalgebras F(4) and G(3)

On the factorization of $x^{d_{r}} + x^{d_{r - 1}} + \dots + x^{d_{2}} + x^{d_{1}} + p$ and a conjecture of C. Nicol

Simple $B_{4}$ representations associated to cyclotomic Hecke algebras

Reconstruction of tensor categories of type $G_{2}$

Affine $G_{2}$ Centralizer Algebras