Solvable Lie group
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 ...of solvable Lie groups (and corresponding algebras) having the similar ...real ...
25
A qualitative uncertainty principle for completely solvable Lie groups
... In this note we prove that a completely solvable Lie group has the qualitative uncertainty principle. In [4] we showed the theorem for nilpotent Lie groups, by induction on the dimension of G. ...
6
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
Damek Ricci spaces satisfying the Osserman p condition
... is 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 ...
6
Algunas propiedades topológicas de los Grupoides dobles de Lie
... La aplicación de métodos categóricos en geometría diferencial ha cobrado gran interés. Como puede observarse en [C, CF1, CF2] existe una gran variedad de resultados geométricos que se derivan a partir del estudio de ...
81
Admissible restriction of holomorphic discrete series for exceptional groups
... We assume now that the restriction of holomorphic discrete series of G to D is not admissible. Since b contains J , the restriction of a holomorphic discrete series (π, V ) of G to the group BD is admissible. Let ...
14
Estructura de los productos tensoriales de sl(2) n V (m)-módulos uniseriales
... algebra de Lie perfectas sl(2) n V (m) donde V (m) es un sl(2)-m´ odulo de peso m´ aximo m ≥ 1. Esta clasificaci´ on est´ a completamente determinada por una familia de m´ odulos uniseriales denotados Z(a, `) y ...
128
La curvatura de Riemann a través de la historia
... de Lie ha sido extensamente estudiada, y tiene m´ ultiples aplicaciones en otras ramas de la Matem´atica, en es- pecial en la F´ısica ...de Lie tienen una estructura geom´etrica extremadamente ...de ...
24
Sistemas de raíces abstractas y álgebras de Lie
... de Lie semisimple, se encuentra un sistema de ra´ıces que es un conjunto de funcionales lineales definidos en una determi- nada sub´algebra ue satisfacen ciertas propiedades que determinan completa- mente la ...
134
Teorema de Engel en las álgebras de Lie
... de Lie compuesta por transformaciones lineales (operadores lineales) la existencia de una base (en nuestro estudio se pudo construir una base aplicando el método de inducción), dicha construcción no solo aclara ...
98
Deformaciones y degeneraciones de álgebras de Lie
... filiform Lie algebras, ie, Lie algebras nilpotent with maximal nilpotency de- ...filiform Lie algebras of dimension ...filiform Lie algebras of rank 0 and dimension 8 ...filiform Lie ...
85
On I null lie algebras
... We now state and prove our main result. The proof is by case analysis over the simple complex finite dimensional Lie algebras. In the classical cases, the point consists in an inductive use of Corollary 2.7. In ...
22
Álgebras de Lie solubles de baja dimensión
... de Lie de dimensi ´on finita g se descompone como un producto semidirecto de su ideal maximal soluble rad(g) y un ´algebra de Lie ...de Lie de dimensi ´on finita y, de alguna manera, justifica la b ...
40
Introducción grafica a las superálgebras de Lie clásicas
... de Lie, que en algunos casos son similares o an´alogos a los del cap´ıtulo anterior debido a que las ´algebras y las super´algebras de Lie guardan una importante relaci´on entre ...
57
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
Grupoides y algebroides dobles de Lie /
... de Lie con acción medular propia esta completamente determinado por una factorización de un cierto grupoide de Lie “diago- nal” canónicamente ...de Lie y como resultado introducimos una nueva clase ...
121
Geometric properties of neutral signature metrics on $4$ dimensional nilpotent Lie groups
... Abstract. The classification of left invariant metrics of neutral signature on the 4-dimensional nilpotent Lie groups is presented. Their geometry is ex- tensively studied with special emphasis on the holonomy ...
25
A historical review of the classifications of Lie algebras
... of solvable Lie algebras up to dimension 4 over any perfect field [120], and in that same year Turkowski [161] dealt with solvable Lie algebras of dimension 6, includ- ing the classification ...
25
A classification of solvable quadratic and odd quadratic Lie superalgebras in low dimensions
... a Lie algebra g and its dual space g ∗ can be comprehended that the Lie algebra g is “glued” by g ∗ ...quadratic Lie algebra (h, ...quadratic Lie superalgebra? Obviously, in this case, the ...
20
Quaternions and octonions in mechanics
... spheres have the same radius. Otherwise, it is completely non integrable, of type (2,3,5), meaning that vector fields lying in it satisfy dim { X + [Y, Z] } = 3, dim { X + [Y, Z] + [U, [V, W ]] } = 5. These are the ...
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