Including translation matrices in covariant non-unitary Poincaré representations alters the construction of massive particle fields from canonical unitary fields. The conventional procedure without spacetime translation matrices determines covariant fields that transform by matrix representations of the homogeneous Lorentz group combined with a differential operator representation of the Poinca...

We describe an image representation for objects and scenes consisting of a configuration of viewpoint covariant regions and their descriptors. This representation enables recognition to proceed successfully despite changes in scale, viewpoint, illumination and partial occlusion. Vector quantization of these descriptors then enables efficient matching on the scale of an entire feature film. We s...

This paper presents a “bag of keypoints” based biomedical image retrieval approach by detecting affine covariant regions. The covariant regions simply refers to a set of pixels or interest points which are invariant to affine transformations, as well as occlusion, lighting and intra-class variations. To describe the intensity pattern within the interest points the Scale-Invariant Feature Transf...

This paper presents a biomedical image retrieval approach by detecting affine covariant regions and representing them with an invariant fuzzy feature space. The covariant regions simply refers to a set of pixels or interest points which change covariantly with a class of transformations, such as affinity. A vector descriptor based on Scale-Invariant Feature Transform (SIFT) is then associated w...

There has been substantial calculational progress in the last few years for gauge theory amplitudes which involve massless four dimensional particles. One of the central ingredients in this has been the ability to keep precise track of the Poincaré algebra quantum numbers of the particles involved. Technically, this is most easily done using the well-known four dimensional spinor helicity metho...

Some Realization of gl q (n)-covariant Oscillator Algebra and gl q (n)-covariant q-Virasoro Algebra with q a root of unity. Abstract In this paper some realization of gl q (n)-covariant oscillators is obtained when q is a root of unity. And the gl q (n)-covariant q-Virasoro algebra is presented by using the gl q (n)-covariant oscillators.

A bstract In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This has property that reduces to S-matrix in flat limit. The limit question is taken by keeping all particle masses fixed as operator conformal dimensions go infinity along with radius R. give Feynman-like rules compute 1 / R perturbation theory. ...

We obtain a Shimorin Wold-type decomposition for doubly commuting covariant representation of product system $$C^*$$ -correspondences over $${\mathbb {N}}_0^k$$ . This result gives Shimorin-type decompositions recent by Jeu and Pinto (Adv Math 368:107–149, 2020) the q-doubly isometries Popescu (J Funct Anal 279:108798, Doubly $$\Lambda $$ -commuting row isometries. Application to wandering subs...

This paper examines actions of right LCM semigroups by endomorphisms C*-algebras that encode an additional structure the semigroup. We define contractive covariant representations for these semigroup dynamical systems and prove a generalized Stinespring's dilation theorem showing can be dilated if only map on C*-algebra is unital completely positive. generalizes earlier results about dilations ...

The central nervous system expresses its function in natural frames of reference. A most conspicuous feature of such frames is their non-orthogonality. Gaze stabilization and, in particular, the sensorimotor transformations performed by the vestibulo-ocular reflex, are prime examples of such general coordinate transformations between and within multidimensional non-orthogonal frames. Since such...