Lie algebras of Lie Groups
Drinfel’d doubles and Shapovalov determinants
... program of Andruskiewitsch and Schneider to classify pointed Hopf algebras [AS98], ...enveloping algebras of semisimple Lie algebras, where the deformation parameter is not a ...
40
Classification of real solvable Lie algebras whose simply connected Lie groups have only zero or maximal dimensional coadjoint orbits
... part of the paper will be organized as follows: Section 2 gives some basic concepts, especially we recall the Lie algebra of the group of the affine trans- formations of the real ...
25
From Finite Groups to Lie Groups
... subgroups of SU(2). These either are of the form ϕ −1 (G), for a finite subgroup G of SO(3), or are cyclic groups of odd ...subgroup of SU(2), one can decompose each tensor prod- ...
207
On generalized Jordan prederivations and generalized prederivations of Lie color algebras
... characterize algebras, so there has been a great deal of work concerning ...a Lie algebra of characteristic zero with a nonsingular derivation must be nilpotent; they also play an important ...
13
Braid representations from quantum groups of exceptional Lie type
... Conjecture 1.1. A braided fusion category C has property F if, and only if, the Frobenius-Perron dimension FPdim(C) of C is an integer, (i.e. C is weakly integral ). For example this conjecture predicts that the ...
11
Algebras de Lie cuanticas
... de Lie lo proporcio- nan las ´algebras asociativas, si definimos [x, y] = xy − yx, ∀ x, y elemen- tos del ´algebra ...de Lie libre como k-m´odulo se puede sumergir en una k-´algebra asociativa U(L) ...
116
On the structure of split involutive Hom Lie color algebras
... case of L being of maximal length, the simplicity of the algebra is characterized and it is shown that L is the direct sum of the family of its minimal involutive ideals, each one being ...
17
$T^*$ extensions and abelian extensions of hom Lie color algebras
... purpose of this paper is to define hom-Nijenhuis operators of the hom- Lie color algebra, showing that the infinitesimal deformation generated by a hom- Nijenhuis operator is ...-extensions of ...
20
Algebras de vértices libres y álgebras de Lie conformes no lineales
... A ⊗ (b ⊗ c − c ⊗ b − [b, c]) ⊗ D : A, D ∈ T (g), b, c ∈ g . Un gran problema que surge al intentar realizar este mismo abordaje para un ´ algebra de Lie conforme no lineal R es que en este caso M(R) no es un ideal ...
82
Joint spectrum for quasi solvable Lie algebras of operators
... case of a nilpotent Lie algebra, but in the solvable case differs, in general, from the one of [2] ...dimensional Lie algebras of operators, in a similar way as ...
9
SEMINARIO DE TITULACIÓN II
... El estudiante tendrá como elementos para su titulación la reconstrucción de experiencias y saberes que le permitan integrar su documento final con las características establecidas en [r] ...
13
QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
... classical Lie algebras of types A, B, C and D is estab- ...existence of a Lie algebra homomorphism between the holomorphic extension of S [ q,N σ,N and the direct sum of ...
36
Generalized Serre relations for Lie algebras associated with positive unit forms
... semisimple Lie algebra defines a root system on the dual space of a Cartan subalgebra and a Cartan matrix, which expresses the dual of the Killing form on a root ...Semisimple Lie ...
14
A qualitative uncertainty principle for completely solvable Lie groups
... Proof 5.1. We proceed by induction on the dimension n of G. The result is true if the dimension of G is one, since G ∼ = R (see [1,theorem2]). Assume that the result is true for all completely solvable ...
6
Álgebras de Lie solubles de baja dimensión
... En este cap´ıtulo estudiaremos los conceptos y propiedades preliminares necesarias para el desarrollo de este trabajo. La primeras secciones contienen las definiciones y conceptos importantes para la construcci ´on de ...
40
On the Betti numbers of filiform Lie algebras over fields of characteristic two
... filiform Lie algebras. The common usage of the term is to say that a nilpotent Lie algebra is filiform if it is of maximal ...field of characteristic zero as shown in ...even ...
12
A classification of solvable quadratic and odd quadratic Lie superalgebras in low dimensions
... definition of the semidirect product of a Lie algebra g and its dual space g ∗ can be comprehended that the Lie algebra g is “glued” by g ∗ ...notion of double extension is more general ...
20
Geometric properties of neutral signature metrics on $4$ dimensional nilpotent Lie groups
... list of possible geodesically equivalent metrics to a given ...signature of the metric. Manifolds of constant curvature allow geodesically equivalent metrics (see [25], [4], ...
25
Lie nilpotencia de elementos sim´
... Lie nilpotency indices of symmetric elements under oriented involutions in group algebras. arXiv:1209.6256 [math.RA], (2012) (preprint)[r] ...
56
Flag spaces for reductive Lie groups
... reductive Lie group of Harish-Chandra class [5, Section 3] and let G denote the corresponding complex adjoint ...complexification of a maximal compact subgroup of Go ...subgroup of G ...
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