Lucie Jacquet-Malo

collaborators

4 papers

math.CO2024

A construction of the generalized higher cluster category arising from an $(m + 2)$ -angulation of a marked surface

Lucie Jacquet-Malo

In this article, we study the $(m + 2)$ -angulations on a Riemann surface, characterized with its boundary components, punctures, and gender. We count the number of arcs in such a sur…

math.RT2017

A bijection between $m$ -cluster-tilting objects and $(m + 2)$ -angulations in $m$ -cluster categories

Lucie Jacquet-Malo

In this article, we study the geometric realizations of $m$ -cluster categories of Dynkin types A, D, $A ~$ and $D ~$ . We show, in those four cases, that there is a bije…

math.RT2017

A geometric realization of the $m$ -cluster categories of type $D_{n} ~$

Lucie Jacquet-Malo

We show that a subcategory of the $m$ -cluster category of type $D_{n} ~$ is isomorphic to a category consisting of arcs in an $(n - 2) m$ -gon with two central $(m - 1)$ -gons inside…

math.RT2017

Model categories structures from rigid objects in exact categories

Lucie Jacquet-Malo

Let $E$ be a weakly idempotent complete exact category with enough injective and projective objects. Assume that $M \subseteq E$ is a rigid, contravar…

A construction of the generalized higher cluster category arising from an (m+2)-angulation of a marked surface

A bijection between m-cluster-tilting objects and (m+2)-angulations in m-cluster categories

A geometric realization of the m-cluster categories of type Dn​~​

Model categories structures from rigid objects in exact categories

A construction of the generalized higher cluster category arising from an $(m + 2)$ -angulation of a marked surface

A bijection between $m$ -cluster-tilting objects and $(m + 2)$ -angulations in $m$ -cluster categories

A geometric realization of the $m$ -cluster categories of type $D_{n} ~$