An integral formula for cocycles of Lie groups
An intrinsic analysis of unitarizable highest weight modules.
An introduction to some novel applications of Lie algebra cohomology in mathematics and physics.
En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.
An isomorphism theorem for algebras
An obstruction to represent abelian Lie algebras by unipotent matrices.
The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
An overview of free nilpotent Lie algebras
Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.
Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
Analogues of Kostant's ...-cohomology formulas for unitary highest weight modules.
Analogues of Weyl's formula for reduced enveloping algebras.
Analysis of a non-monotone smoothing-type algorithm for the second-order cone programming
The smoothing-type algorithm is a powerful tool for solving the second-order cone programming (SOCP), which is in general designed based on a monotone line search. In this paper, we propose a smoothing-type algorithm for solving the SOCP with a non-monotone line search. By using the theory of Euclidean Jordan algebras, we prove that the proposed algorithm is globally and locally quadratically convergent under suitable assumptions. The preliminary numerical results are also reported which indicate...
Analytic joint spectral radius in a solvable Lie algebra of operators
We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.
Analytic properties of the spectrum in Banach Jordan Systems.
For Banach Jordan algebras and pairs the spectrum is proved to be related to the spectrum in a Banach algebra. Consequently, it is an analytic multifunction, upper semicontinuous with a dense G delta-set of points of continuity, and the scarcity theorem holds.
Analyticité et itères d'un système de champs non elliptique
Angeordnete affine Klingenbergsche Ebenen
Angeordnete affine lokale Ternärringe und angeordnete affine Klingenbergsche Ebenen
Annihilators and associated varieties of unitary highest weight modules
Annihilators of Verma modules for Kac-Moody algebras.
ANOVA using commutative Jordan algebras, an application
Binary operations on commutative Jordan algebras are used to carry out the ANOVA of a two layer model. The treatments in the first layer nests those in the second layer, that being a sub-model for each treatment in the first layer. We present an application with data retried from agricultural experiments.
Anyonic Groups
Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.