Abstract. We offer a Maple package Poincare_Series for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/covariants of several binary forms, for the kernel of Weitzenböck derivations,for the bivariate Poincaré series of algebra of covariants of binary d-form and for the multivariate Poincaré series of the algebras of ...

A new gauge invariant formulation of the relativistic scalar field interacting with Chern-Simons gauge fields is considered. This formulation is consistent with the gauge fixed formulation. Furthermore we find that canonical (Noether) Poincaré generators are not gauge invariant even on the constraints surface and do not satisfy the (classical) Poincaré algebra. It is the improved generators, co...

In this paper an upper bound for the number of algebraically independent Poincaré-Liapunov constants in a certain basis for planar polynomial differential systems is given. Finally, it is conjectured that an upper bound for the number of functionally independent Poincaré-Liapunov quantities would be m + 3m− 7 where m is the degree of the polynomial differential system. Moreover, the computation...

In this paper, we show that if G is a finite p-group (p prime) acting by automorphisms on a δ-hyperbolic Poincaré Duality group over Z, then the fixed subgroup is a Poincaré Duality group over Zp. We also provide a family of examples to show that the fixed subgroup might not be a Poincaré Duality group over Z. In fact, the fixed subgroups in our examples even fail to be duality groups over Z.

The illustration on the cover is a stylized portrait of Frank Ramsey.

We establish that every formal critical portrait as de ned in GM can be realized by a postcritically nite polynomial