Lilit G. Martirosyan

activity

20162025

collaborators

4 papers

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 non-symmetric ribbon tensor category $C$ with the fusion rules of the compact group of type $G_{2}$ needs to be equivalent to the representation category…

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…

Simple B4​ representations associated to cyclotomic Hecke algebras

Reconstruction of tensor categories of type G2​

Braid Rigidity for Path Algebras

Affine G2​ Centralizer Algebras

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

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

Affine $G_{2}$ Centralizer Algebras