464 research outputs found
Representations of hom-Lie algebras
In this paper, we study representations of hom-Lie algebras. In particular,
the adjoint representation and the trivial representation of hom-Lie algebras
are studied in detail. Derivations, deformations, central extensions and
derivation extensions of hom-Lie algebras are also studied as an application.Comment: 16 pages, multiplicative and regular hom-Lie algebras are used,
Algebra and Representation Theory, 15 (6) (2012), 1081-109
Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras
The purpose of this paper is to investigate ternary multiplications
constructed from a binary multiplication, linear twisting maps and a trace
function. We provide a construction of ternary Hom-Nambu and Hom-Nambu-Lie
algebras starting from a binary multiplication of a Hom-Lie algebra and a trace
function satisfying certain compatibility conditions involving twisting maps.
We show that mutual position of kernels of twisting maps and the trace play
important role in this context, and provide examples of Hom-Nambu-Lie algebras
obtained using this construction
Cohomology and Deformations of -Lie algebra morphisms
The study of -Lie algebras which are natural generalization of Lie
algebras is motivated by Nambu Mechanics and recent developments in String
Theory and M-branes. The purpose of this paper is to define cohomology
complexes and study deformation theory of -Lie algebra morphisms. We discuss
infinitesimal deformations, equivalent deformations and obstructions. Moreover,
we provide various examples
Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
In this paper we construct ternary -Virasoro-Witt algebras which
-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie
and Zachos using enveloping algebra techniques. The ternary
Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a
parameter and are not Nambu-Lie algebras for all but finitely many values of
this parameter. For the parameter values for which the ternary Virasoro-Witt
algebras are Nambu-Lie, the corresponding ternary -Virasoro-Witt algebras
constructed in this article are also Hom-Nambu-Lie because they are obtained
from the ternary Nambu-Lie algebras using the composition method. For other
parameter values this composition method does not yield Hom-Nambu Lie algebra
structure for -Virasoro-Witt algebras. We show however, using a different
construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and
Zachos, as well as the general ternary -Virasoro-Witt algebras we construct,
carry a structure of ternary Hom-Nambu-Lie algebra for all values of the
involved parameters
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Postoperative Pain: Factors and Tools to Improve Pain Management in Children
Outpatient surgery has made it increasingly common for parents to manage pain in the home setting. Studies have shown that parents often under treat pain, leaving children vulnerable to the negative side effects of suboptimal pain management. Multiple factors affect pain management like child’s age and developmental stage, language, cultural values like stoicism, parental beliefs about medication, biological differences among groups, etc. Understanding all the factors involved can help healthcare providers and parents better understand pain and contribute to optimal pain management. Multiple tools and technological interventions have been created to help create a better understanding of pain and a holistic approach to care
Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
We present a procedure to construct (n+1)-Hom-Nambu-Lie algebras from
n-Hom-Nambu-Lie algebras equipped with a generalized trace function. It turns
out that the implications of the compatibility conditions, that are necessary
for this construction, can be understood in terms of the kernel of the trace
function and the range of the twisting maps. Furthermore, we investigate the
possibility of defining (n+k)-Lie algebras from n-Lie algebras and a k-form
satisfying certain conditions
Study of the nanocrystalline bulk Al alloys synthesized by high energy mechanical milling followed by room temperature high pressing consolidation
AbstractIn the present study high energy mechanical milling followed by high-pressing consolidation has been used to obtain bulk nanocrystalline Al-Fe-Si alloy. Quantitative XRD analysis and scanning electron microscopy were used to characterize the material evolution during thermal treatments in the temperature range 25–500∘C. The cold-worked structure have been synthesized with microstructure showing a mixture of a significant low size of crystallite (70 nm) and a high level of lattice strains (0.85%). Starting from the nanocrystalline specimens, isochronal experiments were carried out to monitor the reserve microstructure and transformations. The high temperature annealing is required for ameliorating the quality of room temperature consolidated materials by removing all porosity and obtaining good interparticle bonding. The thermal conductivity and the thermal diffusivity are investigated with the Photothermal deflection technique. These thermal parameters increase with the annealing temperatures. This behavior is attributed to the increase in the rate of diffusion coefficient of added elements inside the aluminum matrix
Contractions of low-dimensional nilpotent Jordan algebras
In this paper we classify the laws of three-dimensional and four-dimensional
nilpotent Jordan algebras over the field of complex numbers. We describe the
irreducible components of their algebraic varieties and extend contractions and
deformations among them. In particular, we prove that J2 and J3 are irreducible
and that J4 is the union of the Zariski closures of two rigid Jordan algebras.Comment: 12 pages, 3 figure
Changing Healthcare Provider and Parent Behaviors in the Pediatric Post‐Anesthesia‐Care‐Unit to Reduce Child Pain: Nurse and Parent Training in Postoperative Stress (NP‐TIPS)
Background
Children who undergo surgery experience significant pain in the post anesthesia care unit. Nurse and parent behaviors in the post anesthesia care unit directly impact child postoperative pain. Therefore, we have developed and evaluated (Phase 1) and then tested (Phase 2) the feasibility of a new intervention (Nurse and Parent Training in Postoperative Stress) to alter parent and nurse behaviors in a way consistent with reducing child postoperative pain. Methods
In Phase 1, a multidisciplinary team of experts (physicians, nurses, and psychologists) developed an empirically‐based intervention which was then evaluated by experienced nurses (N = 8) and parents (N = 9) during focus groups. After revising the intervention based on focus group feedback, it was tested in Phase 2 using a pre‐post study design. Nurses (N = 23) who worked in the recovery room were recruited to be part of both pre‐ and post‐intervention data collection periods. Parents were recruited to be part of either the pre‐ (N = 52) or post‐intervention (N = 60) data collection periods. Nurses and parent‐child dyads were recorded in the post anesthesia care unit and videos were coded for the desired (i.e., behaviors that may decrease child pain) and non‐desired (i.e., behaviors that may increase child pain) behaviors. Pain data was collected from the children\u27s medical records to assess pain after surgery. The intervention was given to the nurses and parents in the post‐intervention data collection period. Results
Nurses significantly increased their rate of desired behaviors by 231% (p = 0.001; Somer\u27s D = 1) and significantly decreased their rate of non‐desired behaviors by 62% (p = 0.004, Somer\u27s D = ‐0.88, 95% CI [‐1.74, ‐0.03]). Parents significantly increased their rate of desired behaviors by 124% (p = 0.033). Moreover, the intervention significantly decreased child pain in the post anesthesia care unit (b = ‐2.19, SE = 0.63, z = ‐3.46, p = .001, 95%CI [‐3.43, ‐0.95]). Conclusions
The intervention was effective in changing nurse and parent behaviors as well as child pain after surgery
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