Group signature schemes allow a user, belonging to a specific group of users, to sign a message in an anonymous way on behalf of the group. In general, these schemes need the collaboration of a Trusted Third Party which, in case of a dispute, can reveal the identity of the real signer. A new group signature scheme is presented whose security is based on the Integer Factorization Problem (IFP) a...

We study factorization algebras on configuration spaces of points a curve, colored by elements the root lattice. Our main result says that algebra attached to Lusztig's quantum group can be obtained as direct image twisted Whittaker sheaf Zastava space.

A bstract Factorization theorems in soft-collinear effective theory at subleading order power counting involve “radiative jet functions”, defined terms of matrix elements hard-collinear fields with a soft momentum emitted from inside the jet. Of particular importance are radiative quark functions an external photon or gluon, which arise e.g. factorization for Higgs-boson amplitudes h → γγ , gg ...

Let G be a finite group, k a perfect field, and V a finite dimensional kG-module. We let G act on the power series k[[V ]] by linear substitutions and address the question of when the invariant power series k[[V ]] form a unique factorization domain. We prove that for a permutation module for a p-group in characteristic p, the answer is always positive. On the other hand, if G is a cyclic group...

the polynomial interpolation in one dimensional space r is an important method to approximate the functions. the lagrange and newton methods are two well known types of interpolations. in this work, we describe the semi inherited interpolation for approximating the values of a function. in this case, the interpolation matrix has the semi inherited lu factorization.

The notion of Wiener-Hopf type factorization is introduced in the abstract framework of Wiener algebras of matrix-valued functions on connected compact abelian groups. Factorizations of 2 x 2 block triangular matrix functions with elementary functions on the main diagonal are studied in detail. A conjectl,lre is formulated concerning characterization of dual groups with the property that every ...

Given a projective surface and a generic projection to the plane, the braid monodromy factorization (and thus, the braid monodromy type) of the complement of its branch curve is one of the most important topological invariants ([10]), stable on deformations. From this factorization, one can compute the fundamental group of the complement of the branch curve, either in C or in CP. In this articl...