1. Preliminaries 1 2. Multiplicity free actions 8 3. Linear multiplicity free actions 14 4. Examples of multiplicity free decompositions 21 5. A recursive criterion for multiplicity free actions 32 6. The classification of linear multiplicity free actions 36 7. Invariant polynomials and differential operators 42 8. Generalized binomial coefficients 51 9. Eigenvalues for operators in PD(V ) 59 R...

The family of the spin crossover (SCO) compounds based on the 1-bpp unit has furnished striking examples of how subtle changes in the crystal packing have important consequences in their spin transition. Small modifications of the 1-bpp unit itself have been recently reported, obtaining the indazolyl and pirazolyl derivatives [FeII(1-bip)]2+ (1, 1-bip = 2,6-bis(indazol-1-yl)pyridine), [FeII(1,2...

We study the cross sections for electro-production of $P_c(4312)$ particle, a recently discovered pentaquark state, in electron-proton collisions assuming possible quantum numbers to be $J^{P}=\frac{1}{2}^\pm, \frac{3}{2}^\pm$. $\sqrt{s}$ is set energy future Electron Ion Collider at Brookhaven National Laboratory, order asses possibility measurement this facility. One can discriminate spin by ...

ibn sina considers the first being in the world to be the first intellect, which issues from the necessary being on the basis of the principle, ‘only one issues from that which is one in all respects’, and through the different aspects of which all other beings come into existence. ibn arabi rejects the basis of ibn sina’s theory of the first emanation, which is the above mentioned principle, a...

background: an effective polymer gel dosimeter can be fabricated by varying the composition of its chemical components. materials and methods: the magat gel dosimeter formulations that used different compositions of methacrylic acid (maa) and gelatin were extensively investigated in the present study according to the r2–dose response and r2–dose sensitivity. the irradiation of magat gel was per...

We show that the multiplicity distribution associated to high p T events is given in terms of the total multiplicity distribution in an universal way due to the fact that these events are self-shadowed. In particular, the mean associated multiplicity is related to the fluctuations on the multiplicity distribution. In the framework of percolation of strings these fluctuations are related to clus...

Let (M,ω) be a connected symplectic manifold on which a connected Lie group G acts properly and in a Hamiltonian fashion with moment map μ : M −→ g∗. Our purpose is investigate multiplicity-free actions, giving criteria to decide a multiplicity freenes of the action. As an application we give the complete classification of multiplicity-free actions of compact Lie groups acting isometrically and...