Results 41 to 50 of about 266 (166)
Clifford Fibrations and Possible Kinematics
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras and groups [Bacry H., Levy ...
Alan S. McRae
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Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains
Boundary Value Problems, 2010 Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions.
Paul Bosch +2 more
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On a generalization of clifford algebras
Journal of Algebra, 1971 Let V be a vector space over a field k, Q a quadratic form on V, T(V) the tensor algebra of IT. We want to study those algebras C generated by 77 having the following property(P)? Any isometry on Vwith respect to Q can be extended to an automorphism of C having invariant V, and conversely, every automorphism of C mapping V onto itself induces an ...
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Differential forms versus multi-vector functions in Hermitean Clifford analysis
Cubo, 2011 Similarities are shown between the algebras of complex differential forms and of complex Clifford algebra-valued multi-vector functions in an open region of Euclidean space of even dimension.Se presentan las similitudes entre las álgebras de formas ...
F Brackx +2 more
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Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries. The Fourier decomposition of the
Nelson Faustino
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Special Vinberg cones of rank 4
Journal of High Energy PhysicsE.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
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Explicit isomorphisms of real Clifford algebras
International Journal of Mathematics and Mathematical Sciences, 2006 It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,ℍ.
N. Değırmencı, Ş. Karapazar
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Algebraic structures in generalized Clifford analysis and applications to boundary value problems
Bulletin of Computational Applied Mathematics, 2016 The present article has a threefold purpose: First it is a survey of the algebraic structures of generalized Clifford-type algebras and shows the main results of the corresponding Clifford-type analysis and its application to boundary value problems ...
José Játem, Judith Vanegas
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On Clifford Algebras and Binary Integers [PDF]
Advances in Applied Clifford Algebras, 2016 We show that the binary representation of the integers has a role to play in many aspects of Clifford algebras.
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Operator Homology and Cohomology in Clifford Algebras
Cubo, 2010 In recent work, the authors used canonical lowering and raising operators to define Appell systems on Clifford algebras of arbitrary signature. Appell systems can be interpreted as polynomial solutions of generalized heat equations, and in probability ...
René Schott, G. Stacey Staples
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