In this note, generalized connections σT,f are investigated, where AσT,fB = TAfT − A (B) for positive semidefinite matrix A and hermitian matrix B, and operator monotone function f : J → R on an interval J ⊂ R. Here the symbol T A denotes a reflexive generalized inverse of a positive bounded linear operator TA. The problem of estimating a given generalized connection by other ones is studied. T...

In situ activation of 3-arylpropiolic acids with T3P® (n-propylphosphonic acid anhydride) initiates a domino reaction furnishing 4-arylnaphtho[2,3-c]furan-1,3-diones in excellent yields. Upon employing these anhydrides as reactive intermediates blue-luminescent 4-aryl-1H-benzo[f]isoindole-1,3(2H)-diones are formed by consecutive pseudo three-component syntheses in a one-pot fashion. The Stokes ...

Abstract For a finite-dimensional Hopf algebra $\mathsf {A}$ , the McKay matrix {M}_{\mathsf {V}}$ of an -module {V}$ encodes relations for tensoring simple -modules with . We prove results about eigenvalues and right left (generalized) eigenvectors by relating them to characters. show how projective {Q}_{\mathsf obtained indecomposable modules is related dual module illustrate these Drinfeld d...

Density functional theoretical method has been used to investigate the IR spectrum, heat of formation and thermal stability of a new energetic material, viz., 2,5,2'-triazido-1,1'-azo-1,3,4-triazole. The detonation velocity and pressure are evaluated using the Kamlet-Jacobs equations, based on the theoretical density and heat of formation. The bond dissociation energies for the weakest bonds ha...

A number of 25 nitro-diphenylethers have been synthesized and assayed for their inhibitory activity in N-methylphenazonium-methosulfate mediated cyclic photophosphorylation. Their p/50-values were in the range from 3.5 to 5.3. A QSAR-analysis revealed that the lipophilicity of the nitro-diphenylethers as expressed by Z:t played a major role. In addition, the Taft steric parameter £ s in positio...

We examine actions of finite-dimensional pointed Hopf algebras on central simple division in characteristic 0. (By a action we mean module algebra structure.) In all examples considered, show that the given does admit faithful algebra, and construct such algebra. This is contrast to earlier work Etingof Walton, which it was shown most do not fields. consider bosonizations Nichols finite Cartan ...