Lie algebra
QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
... the Lie algebra of infinite matrices with finitely many nonzero diagonals over the algebra of trun- cated polynomials and its classical Lie ...the algebra of all holomorphic functions ...
36
Lie Algebra Representations and Rigged Hilbert Spaces: the SO(2) case
... As mentioned before, we have considered the most elementary situation provided by SO(2), where we have two RHS serving as support of unitary equiva- lent representations of SO(2). One of these RHS is a concrete RHS ...
6
Sobre grupos de Lie solubles de curvatura de Ricci negativa
... of Lie groups having a Ricci negative left invariant metric is out of reach at the ...nilpotent Lie algebra n, such that the corresponding solvable extension has a metric with negative Ricci ...
77
The center and the Lie structure of a Leavitt path algebra
... the Lie algebra [L, L]/Z([L, L]), whenever L stands for the Leavitt path algebra L K (E) of a graph E or, more generally, about the simplicity of ...
70
A historical review of the classifications of Lie algebras
... semi-simple Lie algebras was completely solved by the well-known Cartan Theorem: any semi-simple complex or real Lie algebra can be decomposed into a direct sum of ideals which are simple subalgebras ...
25
Generalized Serre relations for Lie algebras associated with positive unit forms
... In this work, we generalize Serre’s Theorem to give an explicit representation in generators and relations for any simply laced semisimple Lie algebra in terms of a positive quasi-Cartan matrix. Such a ...
14
The center and the Lie structure of a Leavitt path algebra
... the Lie algebra [L, L]/Z([L, L]), whenever L stands for the Leavitt path algebra L K (E) of a graph E or, more generally, about the simplicity of ...
60
On the structure of split involutive Hom Lie color algebras
... color algebra which can be considered as an extension of Hom-Lie superalgebras to Λ-graded algebras, where Λ is any additive abelian ...of Lie algebra L, it is interesting to know in detail ...
17
Classification of real solvable Lie algebras whose simply connected Lie groups have only zero or maximal dimensional coadjoint orbits
... n-dimensional Lie algebras are MD-algebras, and moreover, they can be listed ...Diamond Lie algebra is the 3-dimensional Heisenberg Lie algebra which is non commutative and ...
25
A unified approach to Poisson Hopf deformations of Lie Hamilton systems based on sl(2)
... Poisson–Hopf algebra deformations of LH systems [4] is summarized in Section ...Poisson–Hopf algebra deformation of sl(2) is recalled in Section ...Poisson–Hopf Lie systems with a LH algebra ...
21
Poisson Hopf algebra deformations of Lie Hamilton systems
... Poisson–Hopf algebra deformations of Lie–Hamilton (LH) systems, namely Lie systems endowed with a Vessiot–Guldberg Lie algebra of Hamiltonian vector fields relative to a Poisson ...
25
The kappa-(A)dS quantum algebra in (3+1) dimensions
... On the other hand, it can also be appreciated that the Casimirs (3.6) and (3.7) are pro- foundly modified by the cosmological constant when they are compared with their κ-Poincar´e counterparts (3.8) and (3.9). In ...
13
Questions and conjectures on extremal Hilbert series
... an algebra (polynomial ring, tensor algebra, exterior algebra, Lie algebra, bigraded polynomial ring), we consider the Hilbert series of the factor ...
15
Algebras de Lie cuanticas
... El papel de las ´algebras de Lie cu´anticas estudiadas aqu´ı y su papel en computaci´on cu´antica, si lo tiene, est´a por descubrirse. La esperanza es que la estructura algebraica de tales ´algebras cu´anticas ...
116
Associative and Lie algebras of quotients. Zero product determined matrix algebras
... whenever x, y ∈ X are such that | x | ∧ | y | = 0. Such maps are called disjointness preserving operators or d-homomorphisms. We refer the reader to the monograph [1]. The notion of a disjointness preserving operator was ...
182
Lógica Matemática
... En este secci´on definimos la noci´on de signatura, el concepto de ´algebra y los homomorfismos entre las ´algebras. Tambi´en definimos las nociones de sub´algebra de un ´algebra, las ´algebras ...
150
Prime ideals of skew PBW extensions
... finite-dimensional Lie algebras (and their quantizations), Artamonov quantum polynomials, diffusion algebras, and Manin algebra of quantum matrices, are particular examples of skew PBW extensions (see ...
17
Gaugeos y otros aspectos en supergravedad = Gaugings and other aspects in supergravity.
... This blurry situation is explained by means of the so-called attractor mechanism [61–64], a curious phenonemon that entails the successful collaboration of extremal BHs, its dynamics, algebra and number theory 5 . ...
226
algebra
... Los cap´ıtulos siguientes son una elecci´on arbitraria del autor. Se pre- tende cubrir materias que requieren de un manejo fluido y que son el m´ınimo necesario para tratar de asegurar el ´exito posterior del estudiante. ...
188
Teorema del peso máximo
... sub´ algebra de ...de Lie compactos se obtiene aplicando el anterior a la complexificaci´ on de las ´ algebras de Lie ...de Lie complejas semisimples, que tratamos en el Cap´ıtulo ...´ ...
55