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[PDF] Top 20 Poisson Hopf algebra deformations of Lie Hamilton systems

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Poisson Hopf algebra deformations of Lie Hamilton systems

Poisson Hopf algebra deformations of Lie Hamilton systems

... analogue of superposition principles for deformed LH ...non-equivalent deformations, like an extrapolation of the notion of Lie algebra contraction to Lie ...possibility ... See full document

25

A unified approach to Poisson Hopf deformations of Lie Hamilton systems based on sl(2)

A unified approach to Poisson Hopf deformations of Lie Hamilton systems based on sl(2)

... LH systems with a LH algebra isomorphic to a fixed Lie algebra ...existence of three types of LH systems on the plane related to a LH algebra isomorphic to ...one ... See full document

21

Lie–Hamilton systems on curved spaces: A geometrical approach

Lie–Hamilton systems on curved spaces: A geometrical approach

... A LieHamilton system is a nonautonomous system of first-order ordinary differential equations describing the integral curves of a t-dependent vector field taking values in a ... See full document

20

Classification of real solvable Lie algebras whose
        simply connected Lie groups have only zero or maximal dimensional
        coadjoint orbits

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 ...ideal of the 4-dimensional real Diamond Lie algebra is the 3-dimensional Heisenberg Lie algebra ... See full document

25

QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators

QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators

... terms of the irreducible highest weight repre- sentations of the Lie algebra of infinite ...end of that article, similar results were found for the central extension of ... See full document

36

Estructura de los productos tensoriales de sl(2) n V (m)-módulos uniseriales

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, ... See full document

128

Flatness and freeness properties of the generic
Hopf Galois extensions

Flatness and freeness properties of the generic Hopf Galois extensions

... [5] C. Kassel, Generic Hopf Galois extensions, arXiv:0809.0638, to appear in “Quantum Groups and Noncommutative Spaces” (Matilde Marcolli and Deepak Parashar, editors), Proc. Work- shop on Quantum Groups and ... See full document

16

Galois Theory of Module Fields

Galois Theory of Module Fields

... family of struc- tures such as derivations, iterative derivations, endomorphisms and automor- phisms in a unified ...some of their basic properties. At the end of this section, we focus on simple ... See full document

170

Finite dimensional Hopf algebras over the Kac–Paljutkin algebra $H 8$

Finite dimensional Hopf algebras over the Kac–Paljutkin algebra $H 8$

... but the equality does not hold in general. However, it does hold when A or B has a GK-deterministic subspace, see [41, Proposition 3.11]. The Gelfand–Kirillov dimension is a useful tool in ring theory and Hopf ... See full document

34

$T^*$ extensions and abelian extensions of hom Lie color algebras

$T^*$ extensions and abelian extensions of hom Lie color algebras

... notion of a hom-Lie color algebra which can be viewed as an extension of Hom-Lie superalgebras to G-graded algebras, where G is any abelian ...cohomology of the Hom-Lie ... See full document

20

Global and Local Properties of Lie-Vessiot Systems

Global and Local Properties of Lie-Vessiot Systems

... tensorial invariants and meromorphic solutions of Lie-Vessiot systems in algebraic homogeneous spaces... Lie’s Reduction Method.[r] ... See full document

34

Triangular structures of Hopf algebras and
tensor Morita equivalences

Triangular structures of Hopf algebras and tensor Morita equivalences

... invariant of the module category over a Hopf algebra A we will focus attention on the triangular structures of A (or equivalently, the symmetric braiding structures for the module category ... See full document

18

Teorema de Engel en las álgebras de Lie

Teorema de Engel en las álgebras de Lie

... de Lie compartan un mismo vector propio asociado al vector propio ...de Lie sea nilpotente y lo que ocurre con las álgebra de Lie de dimensión 1: “Es muy tentador suponer que un subálgebra de ... See full document

98

A historical review of the classifications of Lie algebras

A historical review of the classifications of Lie algebras

... classification 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 ... See full document

25

Paths on graphs and associated quantum groupoids

Paths on graphs and associated quantum groupoids

... case of ADE graphs the weak *-Hopf algebra mentioned above is known as the the double triangle algebra(DTA)[6, 10, ...construction of this algebra out of the corresponding ... See full document

24

Prime ideals of skew PBW extensions

Prime ideals of skew PBW extensions

... extension of auto- morphism type of a left (right) Noetherian ring ...ideal of R Σ-invariant. I is a Σ-prime ideal of R if and only if IA is a prime ideal of ... See full document

17

On the structure of split involutive Hom Lie color algebras

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 ... See full document

17

The center and the Lie structure of a Leavitt path algebra

The center and the Lie structure of a Leavitt path algebra

... ideals of Leavitt path algebras. Of course, in an arbitrary Leavitt path algebra not every ideal has to be ...example, of the Leavitt path algebra associated to the graph E having one ... See full document

70

The center and the Lie structure of a Leavitt path algebra

The center and the Lie structure of a Leavitt path algebra

... ideals of Leavitt path algebras. Of course, in an arbitrary Leavitt path algebra not every ideal has to be ...example, of the Leavitt path algebra associated to the graph E having one ... See full document

60

The kappa-(A)dS quantum algebra in (3+1) dimensions

The kappa-(A)dS quantum algebra in (3+1) dimensions

... choice of a symmetrization prescription, which has to be also implemented on the coproduct map (see the discussion in ...the Poisson approach here presented is enough to get a quite comprehensible ... See full document

13

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