activity
20112020
most citedCombinatorial model for cluster categories of type E

8 citations · 15 across the 7 of their papers we have counts for

collaborators

8 papers

q-bio.QM2020

Master regulators of evolution and the microbiome in higher dimensions

Holger Eble, Michael Joswig, Lisa Lamberti +1

A longstanding goal of biology is to identify the key genes and species that critically impact evolution, ecology, and health. Network analysis has revealed keystone species that r…

math.CO2019★ 1 cited

Combinatorial model for m-cluster categories in type E

Bing Duan, Lisa Lamberti, Jian-Rong Li

We revisit the geometric description of cluster categories in type E in terms of colored diagonals in a polygon and generalize it to the case of m-cluster categories. As an applica…

math.RT2019

Cluster tilting modules for mesh algebras

Karin Erdmann, Sira Gratz, Lisa Lamberti

We study cluster tilting modules in mesh algebras of Dynkin type, providing a new proof for their existence. In all but one case, we show that these are precisely the maximal rigid…

q-bio.QM2018

Cluster partitions and fitness landscapes of the Drosophila fly microbiome

Holger Eble, Michael Joswig, Lisa Lamberti +1

Beerenwinkel et al.(2007) suggested studying fitness landscapes via regular subdivisions of convex polytopes. Building on their approach we propose cluster partitions and cluster f…

math.CO2016★ 3 cited

Tensor diagrams and Chebyshev polynomials

Lisa Lamberti

In this paper, we describe a class of elements in the ring of -invariant polynomial functions on the space of configurations of vectors and linear forms of a 3-dime…

math.RT2014★ 8 cited

Combinatorial model for cluster categories of type E

Lisa Lamberti

In this paper we give a geometric-combinatorial description of the cluster categories of type E. In particular, we give an explicit geometric description of all cluster tilting obj…