The Clifford algebraic formulation of the Duffin–Kemmer–Petiau (DKP) algebras is applied to recast De Donder–Weyl Hamiltonian (DWH) theory as an description independent matrix representation DKP algebra. We show that DWH equations for antisymmetric fields arise out action algebra on certain invariant subspaces which carry representations fields. representation-free formula bracket associated wi...

In  this paper we define the $p$-analog of the restericted reperesentations and also the $p$-analog of the Fourier--Stieltjes algebras on the inverse semigroups . We improve some results about Herz algebras on Clifford semigroups. At the end of this paper we give the necessary and sufficient condition for amenability of these algebras on Clifford semigroups.

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The theory of the Clifford algebra of a vector space with a given symmetric bilinear form is rather well-understood: One of the basic properties of the Clifford algebra gives an explicit basis for it in terms of a basis of the underlying vector space (Theorem 1 below), and another one provides a canonical vector space isomorphism between the Clifford algebra and the exterior algebra of the same...

We want in this chapter to regard Clifford algebras as natural generalizations of the complex number system. First let us note that if z is a complex number then zz = ‖z‖. Now for a quaternion q we also have qq = ‖q‖. In this way quaternions may be regarded as a generalization of the complex number system. It seems natural to ask if one can extend basic results of one complex variable analysis ...

A straightforward two-line derivation of the Bekenstein-Hawking Area-Entropy relation in any dimension is shown based on Shannon’s information theory and Clifford algebras required by the New Relativity Principle. Recently we have proposed that a New Relativity principle may be operating in Nature which could reveal important clues to find the origins of M theory [1]. We were forced to introduc...