The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...

We call the p-fundamental string of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form kω1 +ωp for k ≥ 0, where ωj denotes the jth fundamental weight of the ...

We generalize Sylvester single sums to multisets and show that these sums compute subresultants of two univariate polynomials as a function of their roots independently of their multiplicity structure. This is the first ...

We give formulas for the multiplicity of any affine isolated zero of a generic polynomial system of n equations in n unknowns with prescribed sets of monomials. First, we consider sets of supports such that the origin is ...

We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stables measures. As an application ...

In this note we give a sense to some multiplicative products of distributions:i) (P ± i0)^{\lambda} . L^r {\delta}ii) (P± i0) ^{\lambda} . K^r{\delta }where (P ± i0)^{\lambda} is the distribution defined by the formula ...