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Invariant solutions to the conformal Killing–Yano equation on Lie groups
(2015)
We search for invariant solutions of the conformal Killing–Yano equation on Lie groups equipped with left invariant Riemannian metrics, focusing on 2-forms. We show that when the Lie group is compact equipped with a ...
Semigroups in symmetric Lie groups
(Elsevier Science BvAmsterdamHolanda, 2007)
Lie properties of crossed products
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
Let F-sigma(lambda)vertical bar G vertical bar be a crossed product of a group G and the field F. We study the Lie properties of F-sigma(lambda)vertical bar G vertical bar in order to obtain a characterization of those ...
A software package for Lie algebraic computations
(SIAM PUBLICATIONS, 2005)
The paper presents a computer algebra package that facilitates Lie algebraic symbolic computations required in the solution of a variety of problems, such as the solution of right-invariant differential equations evolving ...
Negative Ricci curvature on some non-solvable Lie groups
(Springer, 2017-02)
We show that for any non-trivial representation (V, π) of u(2) with the center acting as multiples of the identity, the semidirect product u(2) ⋉ πV admits a metric with negative Ricci curvature that can be explicitly ...
Sobre grupos de Lie solubles de curvatura de Ricci negativa
(2020-03)
En el caso homogéneo, el único comportamiento de curvatura que aún no se entiende es Ricci negativa y existe evidencia que una caracterización algebraica de grupos de Lie que admiten métricas invariantes a izquierda de ...
Teorema del peso máximo
(2011-09-05)
Este trabajo es sobre la clasificación, módulo equivalencia, de las representaciones irreducibles de dimensión finita de álgebras de Lie complejas semisimples de dimensión finita.
El Teorema del peso máximo describe a las ...