R. Caseiro

activity

19992026

most citedJacobi-Nijenhuis algebroids and their modular classes

8 citations · 37 across the 13 of their papers we have counts for

collaborators

13 papers

math.DG2026

Loday algebroids cohomology, nonlinear connections and characteristic classes

Raquel Caseiro, Fani Petalidou

The purpose of this paper is to contribute to the further study of Loday algebroids by introducing, first, the concept of action Loday algebroid and clarifying the notion of a (co)…

math.RA2023

Embedding tensors on Lie $\infty$ -algebras with respect to Lie $\infty$ -actions

Raquel Caseiro, Joana Nunes da Costa

Given two Lie $\infty$ -algebras $E$ and $V$ , any Lie $\infty$ -action of $E$ on $V$ defines a Lie $\infty$ -algebra structure on $E \oplus V$ . Some compatibility between the action an…

math.DG2022

Modular class of Lie $\infty$ -algebroids and adjoint representation

Raquel Caseiro, Camille Laurent-Gengoux

We study the modular class of $Q$ -manifolds, and in particular of negatively graded Lie $\infty$ -algebroid. We show the equivalence of several descriptions of those classes, that i…

math.RA2021★ 4 cited

$O$ -operators on Lie $\infty$ -algebras with respect to Lie $\infty$ -actions

R. Caseiro, J. Nunes da Costa

We define $O$ -operators on a Lie $\infty$ -algebra $E$ with respect to an action of $E$ on another Lie $\infty$ -algebra and we characterize them as Maurer-Cartan elements…

math.DG2016★ 2 cited

The modular class of a Dirac map

Raquel Caseiro

In this paper we study the modular classes of Dirac manifolds and of Dirac maps, and we discuss their basic properties. We apply these results to explain the relationship between t…

math.SG2013

Inversion of a mapping associated with the Aomoto-Forrester system

Raquel Caseiro, Jean-Pierre Françoise, Ryu Sasaki

This article is devoted to the study of a general class of Hamiltonian systems which extends the Calogero systems with external quadratic potential associated to any root system. T…