Lie group
Admissible restriction of holomorphic discrete series for exceptional groups
... real Lie group G (which we shall assume for convenience, to minimize notations, with finite center), and K a maximal compact ...a Lie group we denote its Lie algebra by the ...
14
El comportamiento asintótico del flujo pluriclosed en grupos de Lie de dimensión 4
... In this paper we study a geometric flow on Hermitian manifolds introduced by Jeffrey Streets and Gang Tian called pluriclosed flow, which evolves Hermitian SKT structures (an special class of Hermitian manifolds). ...
47
Geometric properties of neutral signature metrics on $4$ dimensional nilpotent Lie groups
... nilpotent Lie group endowed with a left invariant metric —the group of isometric automor- phisms, the group of isometries preserving the splitting (1), and the full isometry group— were ...
25
Damek Ricci spaces satisfying the Osserman p condition
... solvable Lie group of Iwasawa type and dimension n, with [S, S] two step ni l p ote n t , satisfying the Osserman-p condition for some 1 < p < n, then S is a space of constant ncgative sectional ...
6
Classification of real solvable Lie algebras whose simply connected Lie groups have only zero or maximal dimensional coadjoint orbits
... Heisenberg Lie group and the 4-dimensional real Diamond Lie group has dimension zero or ...solvable Lie groups (and corresponding algebras) having the similar ...solvable Lie ...
25
Multiple photon effective Hamiltonians in linear quantum optical networks
... Systems which include squeezing or parametric processes are usually described in terms of their Hamiltonians, which can be readily combined with the Hamiltonian of the linear part. In that regard, our analysis can also ...
6
Quaternions and octonions in mechanics
... symmetry group is SO(4), of dimension 6; when the ratio is 1:3 however, the group is a 14-dimensional ex- ceptional simple Lie group of type G 2 ...
9
On I null lie algebras
... -null Lie algebras. First, after proving basic properties of I -null Lie algebras, we state in Proposition ...for Lie algebras having a codimension 1 ideal, connecting I -nullity of the ideal and I ...
22
Introducción grafica a las superálgebras de Lie clásicas
... de Lie son generalizaciones de las ´algebras de ...de Lie es una super´algebra o ´algebra Z 2 -graduada sobre un cuerpo con caracter´ıstica cero, en donde la operaci´on [ , ] (llamada supercorchete de ...
57
Álgebras de Lie solubles de baja dimensión
... de Lie, si no que se ha logrado demostrar que en muchos casos esta clasificaci ´on es imposible de alcanzar; solo se ha conseguido clasificar unas pocas familias de ´algebras sobre algunos cuerpos particulares y ...
40
Three dimensional real Lie bialgebras
... Proof. Since (a, b) 6= (0, 0) and (c, d) 6= (0, 0), we are not in the abelian or coabelian case. It suffices to compute the trace of D, which is equal to ac + db. Automorphism groups in the non abelian and non co-abelian ...
36
Sistemas de raíces abstractas y álgebras de Lie
... Proposici´ on 6.1. Toda sub´algebra toral de una ´algebra de Lie g es abeliana. Demostraci´on. Si h es una sub´algebra toral de g, basta con probar que los valores propios de ad v : h → h son ceros para todos los ...
134
Algunas propiedades topológicas de los Grupoides dobles de Lie
... de Lie y estudiaremos algunas propiedades topológicas de los ...de Lie y que en todo grupoide doble de Lie la inclusión de su médula en el espacio de cajas, satisface la Propiedad de Extensión de ...
81
Deformaciones de álgebras de Lie nilpotentes filiformes
... En esta tesis abordamos el problema de rigidez de álgebras filiformes complejas. En primer lugar presentamos un método general para construir deformaciones lineales de álgebras de Lie, que se adapta muy bien y ...
123
From Finite Groups to Lie Groups
... of group theory, particularly group representations, for the quantum mechanics being developed in the 1920s by Werner Heisenberg and Paul ...introduce group theory into physics in two articles in the ...
207
G2-estructuras ERP en grupos de Lie
... de Lie salvo equivalencia y multiplicaci´ on por escalar, es natural hacerse otras preguntas que caracterizan a cada una de las cinco estructuras ERP dadas en el ...
88
Sistemas de Ermakov, Sistemas de Lie y Aplicaciones
... de Lie y hacer un estudio unificado de varias de las ecuaciones que se han ...de Lie, el cual nos caracterizar´ a un sistema de Lie a trav´ es de ´ algebras de Lie de campos ...
18
Estructura de los productos tensoriales de sl(2) n V (m)-módulos uniseriales
... de Lie no semisimples. Es claro que el ´ algebra de Lie sl(2) n V (m), donde V (m) es el sl(2)-m´ odulo irreducible de peso m´ aximo m, es uniserial para todo m ≥ 1 (por medio de su representaci´ on ...
128
Teorema del peso máximo
... Sea x ∈ g un elemento cualquiera del ´ algebra de Lie semisimple g. Por la descomposici´ on de Jordan-Chevalley, sabemos que x = s + n, con s un elemento semisimple y con n un elemento nilpotente. Si todo elemento ...
55
A unified approach to Poisson Hopf deformations of Lie Hamilton systems based on sl(2)
... The structure of the contribution goes as follows. Section 2 is devoted to introducing the main aspects of LH systems and Poisson–Hopf algebras. The general approach to construct Poisson–Hopf algebra deformations of LH ...
21