1. Preliminaries 1 2. Multiplicity free actions 8 3. Linear multiplicity free actions 15 4. Examples of multiplicity free decompositions 21 5. A recursive criterion for multiplicity free actions 33 6. The classification of linear multiplicity free actions 37 7. Invariant polynomials and differential operators 43 8. Generalized binomial coefficients 52 9. Eigenvalues for operators in PD(V ) 61 R...

in this paper, we establish some results on the existence of at least three weak solutions for adirichlet problem involving p-laplacian using a variational approach.

this study attempts to examine the multilingualism in algeria, in other words, the phenomenon of linguistic diversity which characterizes the algerian reality and its relationship. for that matter the article visualizes the linguistic level of learners especially children, highlighting the characteristics of the multiplicity of its causes and manifestations. here, the descriptive methodology is...

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...

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...

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...