Synthesis and evaluation of a novel natural-based phosphine antioxidant for the thermal stabilization of polyethylene

Journal of Thermal Analysis and Calorimetry - A new phosphine-type potential secondary stabilizer was synthesized successfully with large natural raw material content. The stabilizer is a waxy...     

The primitive ideal space of solvable Lie groups

LetG be a connected and simply connected solvable Lie group. In a previous paper (cf.[22]) we associated withG a familyM of geometrical objects (generalized orbits), and with each elementO ofM a unitary equivalence classF(O) of factor representations. IfG is nilpotent,M coincides with the orbit space of the coadjoint representation, and the mapOF(O) reproduces essentially the Kirillov isomorphism betweenM and the dual ofG. As a fargoing extension of this, the principal result of the present paper asserts, that upon assigning to 0M the kernel of the representation, associated with some element ofF(O), of the groupC ^* algebraC ^*(G), we obtain a bijection betweenM and the primitive ideal space ofC ^*(G).This work was supported by a grant from the National Science Foundation     

On the characters of exponential groups

Let G be an exponential solvable group, O an orbit of the coadjoint representation and T the corresponding irreducible unitary representation of G. A polynomial function P, such that P ¦ O is positive and semi-invariant, determines a positive, self-adjoint operator A on the space of T. Using the resulution of singularities by H. Hironaka, one shows, under suitable conditions on O, that the function t → Tr(A^tT()A^t)( ε C_c^∞(G), fix) admits a meromorphic analytic continuation, with poles on the real axis.