We obtain Drinfeld second realization of the quantum affine superalgebras associated with the affine Lie superalgebra D(1)(2, 1;x). Our results are analogous to those obtained by Beck for the quantum affine algebras. Beck’s analysis uses heavily the (extended) affine Weyl groups of the affine Lie algebras. In our approach the structures are based on a Weyl groupoid. Preprint numbers: MIT-CTP 38...

Abstract We present new results on the computational limitations of affine automata (AfAs). First, we show that using endmarker does not increase power AfAs. Second, computation bounded-error rational-valued AfAs can be simulated in logarithmic space. Third, identify some logspace unary languages are recognized by algebraic-valued Fourth, arbitrary real-valued transition matrices and state vect...

This paper proposes a simple approach to the affine motion interpolation problem, where an affine spline motion is generated that interpolates a given sequence of affine keyframes and satisfies approximately rigidity constraints and certain optimization criteria. An affine spline motion is first generated so as to interpolate the given keyframes; after that, it is progressively refined via knot...

Abstract We consider the most general 11 parameter parity even quadratic Metric-Affine Theory whose action consists of usual Einstein–Hilbert plus terms in torsion, non-metricity as well their mixing. By following a certain procedure and using simple trick we are able to find unique solution affine connection an arbitrary hypermomentum. Given fairly non-degeneracy condition our result provides ...

We present a two-dimensional wavelet transform that is invariant to affine distortions of the input signal. Affine distortions include geometric effects such as translation, reflection, uniform and anisotropic scaling, rotation, and shearing of the input signal. Invariance of the wavelet transform to affine distortions is achieved in our work by developing an algorithm that reduces replicas of ...