L. Cagliero

activity

20062026

most citedExplicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials

26 citations · 50 across the 20 of their papers we have counts for

collaborators

Showing math.RTShow all

16 papers · 1 filter

math.RT2023

Tensor products and intertwining operators between two uniserial representations of the Galilean Lie algebra $sl (2) ⋉ h_{n}$

Leandro Cagliero, Iván Gómez Rivera

Let $sl (2) ⋉ h_{n}$ , $n \geq 1$ , be the Galilean Lie algebra over a field of characteristic zero, here $h_{n}$ is the Heisenberg Lie algebra of di…

math.RT2020

Minimal faithful representations of the free 2-step nilpotent Lie algebra of the rank $r$

Leandro Cagliero, Nadina Rojas

Given a finite dimensional Lie algebra $g$ , let $z (g)$ denote the center of $g$ and let $μ (g)$ be the minimal possible dimens…

math.RT2020

Nilpotency degree of the nilradical of a solvable Lie algebra on two generators

Leandro Cagliero, Fernando Levstein, Fernando Szechtman

Given a sequence $d = (d_{1}, \dots, d_{k})$ of natural numbers, we consider the Lie subalgebra $h$ of $gl (d, F)$ , where $d = d_{1} + \dots + d_{k}$ and $\mathbb…

math.RT2017★ 2 cited

Free 2-step nilpotent Lie algebras and indecomposable modules

Leandro Cagliero, Luis Gutierrez, Fernando Szechtman

Given an algebraically closed field $F$ of characteristic 0 and an $F$ -vector space $V$ , let $L (V) = V \oplus Λ^{2} (V)$ denote the free 2-step nilpotent Lie algebra associated to $V$ . In…

math.RT2016★ 4 cited

Classification of finite dimensional uniserial representations of conformal Galilei algebras

Leandro Cagliero, Luis Gutiérrez Frez, Fernando Szechtman

With the aid of the $6 j$ -symbol, we classify all uniserial modules of $sl (2) ⋉ h_{n}$ , where $h_{n}$ is the Heisenberg Lie algebra of dimensio…

math.RT2015

Jordan-Chevalley decomposition in Lie algebras

Leandro Cagliero, Fernando Szechtman

We prove that if $s$ is a solvable Lie algebra of matrices over a field of characteristic 0, and $A \in s$ , then the semisimple and nilpotent summands of the Jo…