New deformations of the Poincare group Fun(P (1 + 1)) and its dual enveloping algebra U(p(1 + 1)) are obtained as a contraction of the hdeformed (Jordanian) quantum group Fun(SLh(2)) and its dual. A nonstandard quantization of the Heisenberg algebra U(h(1)) is also investigated. Ref. SISSA: 85/96/FM Off late, considerable interest has been generated towards the nonstandard quantization of Lie g...

We will show that the duality for regular weight system introduced by K. Saito can be interpreted as the duality for the orbifoldized Poincare polynomial χ(W,G)(y, ȳ). Introduction In [A], Arnold discovered a strange duality among the 14 exceptional singularities. This was interpreted by Dolgachev, Nikulin and Pinkham in terms of the duality between algebraic cycles and transcendental cycles on...

My reasons for writing this story were stimulated by the discussion in The American Mathematical Monthly between Peter Hilton and Jean Pederson on the one hand and Branko Grunbaum and G. C. Shephard on the other hand [HP] [GS]. The discussion as well as my story involves the Euler-Poincare Number, alias the Euler Characteristic. The discussion centers on whether the Euler-Poincare Number should...

We show the presence of Poincare anomaly in Maxwell-Chern-Simons theory = with an explicit mass term, in 2+1-dimensions.

the aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. in [1], ungar and chen showed that the algebra of the group sl(2,c) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the lorentz group and its underlying hyperbolic geometry. they defined the chen addition and then chen model of hyperbolic geometry. in this paper,...

Presently T-wave alternans (TWA) has become a clinical index of non-invasive diagnosis for heart sudden death prediction, and detecting T-wave alternate accurately is particularly important. This paper introduces an algorithm for detecting TWA using Poincare mapping method which is a technique for nonlinear dynamic systems to display periodic behavior. Sample series of beat to beat cycles were ...

We consider the deformed Poincare group describing the space-time symmetry of noncommutative field theory. It is shown how the deformed symmetry is related to the explicit symmetry breaking. PACS number(s): 11.10-z, 11.30Cp