The 1|1-supertransvectants are the osp(1|2)-invariant bilinear operations on weighted densities on the supercircle S, the projective version of R. These operations are analogues of the famous Gordan transvectants (or Rankin-Cohen brackets). We prove that supertransvectants coincide with the iterated Poisson and ghost Poisson brackets on R and apply this result to construct star-products.

A type of closed exterior algebra in R3 under the cross product is revealed to hold between differential forms from the three Whittaker scalar potentials, associated with the fields of a moving electron. A special algebraic structure is revealed in the context of Clebsch reparametrization of these scalars, and a special prescription for the construction of permutation invariant electromagnetic ...

Low frequency wavelet coefficients include much important vision information of the image, and are useful to image recognition and understanding. While at present, the applications of the low frequency wavelet coefficients are limited in the researches of image analysis. In this paper, the authors extracted the BFV (Binary Feature Vector, BFV) and TFV (Ternary Feature Vector, TFV) of low freque...

productivity shocks are one of the most important factors that influence the firms ‘ decisions on he optimal consumption of production inputs. unobservable productivity shocks create selection and simultaneity problems causing biased estimates of production function by ordinary least squares. however, to estimate coefficients associated with production function by levinsohn and petrin technique...

The decomposition of the tensor product of a positive and a negative discrete series representation of the Lie algebra su(1, 1) is a direct integral over the principal unitary series representations. In the decomposition discrete terms can occur, and the discrete terms are a finite number of discrete series representations or one complementary series representation. The interpretation of Meixne...

This paper characterizes the first cohomology group H(G,M) where M is a Banach space (with norm || ||M) that is also a left CG module such that the elements of G act onM as continuous C-linear transformations. We study this group for G an infinite, finitely generated group. Of particular interest are the implications of the vanishing of the group H(G,M). The first result is that H(G,CG) imbeds ...

The non-relativistic quark model has been a useful tool in the study of hadrons. Baryons and mesons are described by quantum mechanical wavefunctions for nonrelativistic constituent quarks. The lowest lying baryons, the 81/2 and 103/2, are three quark states with wavefunctions which are completely antisymmetric in color, and completely symmetric in position and spin-flavor. The properties of ba...

We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A−G based on the explicit construction of weight states. This straightforward approach (which is slower and more memoryconsumptive than the standard methods to just calculate dimensions of the tensor product decomposition) produces Clebsch-Gordan coefficients that are of intere...

After careful introduction and discussion of the concepts involved, procedures are developed to compute Racah and Clebsch-Gordan coefficients for general r-fold tensor products of the U(N) groups. In the process, the multiplicity of a given irreducible representation (irrep) in the direct sum basis is computed, and generalized Casimir operators are introduced to uniquely label the multiple irre...