Clifford Algebras and their Applications in Mathematical Physics

CLIFFORD ALGEBRAS and APPLICATIONS.- Quantum Clifford algebras.- Relations between Witt rings and Brauer groups.- Clifford algebra tables.- Finite geometry and the table of real Clifford algebras.- Jordan form in Clifford algebra.- CLIFFORD ANALYSIS: Local and global theory for Dirac—type operators.- Elliptic boundary value problems in unbounded domains.- Dirac operators and manifolds with boundary.- Spin structures and harmonic spinors on Riemann surfaces.- Spherical geometry and Möbius transformations.- Cauchy transforms and bi—axial monogenic power functions.- Note on the use of spherical vectorfields in Clifford analysis.- Quaternionic analysis and transmission problems.- C*—algebras of nonlocal quaternionic convolution type operators.- On the solutions of
$$
{D^N}{/text{ }}{/hat D^M}{/text{ }}F = 0$$.- Biregular quaternionic functions.- Monogenic and holomorphic functions.- Hypercomplex differentiability and its applications.- Clifford algebras and boundary estimates for harmonic functions.- Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator.- On the analogue of the
$$
/bar /partial$$
—problem in quaternionic analysis.- Hurwitz pairs and Clifford algebra representations.- On the Bergmann kernel function in the Clifford analysis.- SO(M)—invariant operators on Clifford tensors.- Invariant differential operators on polynomial—valued functions.- A distributional approach to vector manifolds.- Clifford analysis for higher spins.- Quaternionic operator calculus and domain perturbation problems.- Classical Mechanics.- A hamiltonian model of dissipation with Clifford algebraic generalizations.- A formulation of hamiltonian mechanics using geometric calculus.- Mathematical Physics.- Localautomorphism invariance: a generalization of general relativity.- Differential forms in geometric calculus.- Clifford valued convolution operator algebras on the Heisenberg group.- Classical solutions of the Dirac equation: bound Coulomb states in Aharonov-Bohm and Zeeman fields.- Geometric algebra versus numerical cartesianism.- Classification of multivector theories and the modification of the postulates of physics.- The “ideal” approach to spinors reconsidered.- Geometric aspects of spinors.- A basis for double solution theory.- Spatial inversion and spinors.- Physical Models.- Non abelian gauge fields in the real Clifford algebra of space time.- Spin gauge theories: principles and predictions.- Gravity as a gauge theory in the spacetime algebra.- Cosmological consequences of a flat—space theory of gravity.- Zitterbewegung and electron structure.- Separation of the Dirac equation and positive definiteness of quantum numbers.