Clifford fibrations and possible kinematics.
Clifford k-algebras and k*-groups.
Cliffordalgebren und neue isoparametrische Hyperflächen.
Collars in PSL.
Composition of quaternary quadratic forms
Degenerate space-time paths and the non-locality of quantum mechanics in a Clifford substructure of space-time.
Determinantally homogeneous polynomials on representations of Euclidean Jordan algebras.
Discriminant algebras and adjoints of quadratic forms.
Éléments de probabilités quantiques. XI. Caractérisation des lois de Bernoulli quantiques d'après K. R. Parthasarathy
Endlichdimensionale graduierte Algebren und ihre Darstellungen
Envelopes of holomorphy for solutions of the Laplace and Dirac equations
Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in are studied. First, geometric description of envelopes of holomorphy over domains in is given. In more general case, solutions can be continued by integral formulas using values on a real dimensional cycle in . Sufficient conditions for this being possible are formulated.
First order linear ordinary differential equations in associative algebras.
General theory of Lie derivatives for Lorentz tensors
We show how the ad hoc prescriptions appearing in 2001 for the Lie derivative of Lorentz tensors are a direct consequence of the Kosmann lift defined earlier, in a much more general setting encompassing older results of Y. Kosmann about Lie derivatives of spinors.
Generalized Hurwitz maps of the type S × V → W, anti-involutions, and quantum braided Clifford algebras
The notion of a -triple is studied in connection with a geometrical approach to the generalized Hurwitz problem for quadratic or bilinear forms. Some properties are obtained, generalizing those derived earlier by the present authors for the Hurwitz maps S × V → V. In particular, the dependence of each scalar product involved on the symmetry or antisymmetry is discussed as well as the configurations depending on various choices of the metric tensors of scalar products of the basis elements. Then...
Generalized Schwarzian derivatives for generalized fractional linear transformations
Generalizations of the classical Schwarzian derivative of complex analysis have been proposed by Osgood and Stowe [12, 13], Carne [5], and Ahlfors [3]. We present another generalization of the Schwarzian derivative over vector spaces.
Geometric Structures in Bundlesof Associative Algebras
The article deals with bundles of linear algebra as a specifications of the case of smooth manifold. It allows to introduce on smooth manifold a metric by a natural way. The transfer of geometric structure arising in the linear spaces of associative algebras to a smooth manifold is also presented.
Geometry of Cyclic and Anticylic Algebras
The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Graded algebra automorphisms.
Hochschild cohomology and deformations of Clifford-Weyl algebras.
Hurwitz analysis: basic concepts and connection with Clifford analysis