This paper builds on the previous paper by the author, where a relationship between Zhedanov’s algebra AW (3) and the double affine Hecke algebra (DAHA) corresponding to the Askey-Wilson polynomials was established. It is shown here that the spherical subalgebra of this DAHA is isomorphic to AW (3) with an additional relation that the Casimir operator equals an explicit constant. A similar resu...

Firstly, this paper researches on the scheme of amplitude weighting(AW) for smart antenna(SA) beamforming in linear array. With the proposed mathematical model in this paper, QPSK base-band AW is an effective method for linear SA to realize multi-user and multi-direction transmission, by which the perfect directional beam-forming can be realized with low complexity and low cost. Secondly, this ...

Let G be a properly face 2-coloured (say black and white) piecewise-linear triangulation of the sphere with vertex set V . Consider the abelian group AW generated by the set V , with relations r+c+s = 0 for all white triangles with vertices r, c and s. The group AB can be defined similarly, using black triangles. These groups are related in the following manner AW ∼= AB ∼= Z⊕ Z⊕ C where C is a ...

The concept of spin models was introduced by V.F. Jones in 1989. K. Kawagoe, A. Munemasa and Y. Watatani generalized it by removing the condition of symmetry. Recently E. Bannai and E. Bannai further generalized the concept of spin models, to give four-weight spin models or generalized spin models. Before this, F. Jaeger first pointed out the relation between spin models and association schemes...