El. knyga: Clifford Algebras and their Applications in Mathematical Physics: Volume 1: Algebra and Physics

1 Physics Applications and Models.- Multiparavector Subspaces of C?n:
Theorems and Applications.- Quaternionic Spin.- Pauli Terms Must Be Absent in
the Dirac Equation.- Electron Scattering in the Spacetime Algebra.- 2 Physics
Structures.- Twistor Approach to Relativistic Dynamics and to the Dirac
Equation A Review.- Fiber with Intrinsic Action on a 1 + 1 Dimensional
Spacetime.- Dimensionally Democratic Calculus and Principles of
Polydimensional Physics.- A Pythagorean Metric in Relativity.-
Clifford-Valued Clifforms: A Geometric Language for Dirac Equations.- 3
Geometry and Logic.- The Principle of Duality in Clifford Algebra and
Projective Geometry.- Doing Geometric Research with Clifford Algebra.-
Clifford Algebra of Quantum Logic.- 4 Mathematics Deformations.- Hecke
Algebra Representations in Ideals Generated by q-Young Clifford Idempotents.-
On q-Deformations of Clifford Algebras.- Dirac Operator, Hopf Algebra of
Renormalization and Structure of Space-time.- Non-commutative Spaces for
Graded Quantum Groups and Graded Clifford Algebras.- 5 Mathematics
Structures.- Clifford Algebras and the Construction of the Basic Spinor and
Semi-Spinor Modules.- On the Decomposition of Clifford Algebras of Arbitrary
Bilinear Form.- Covariant Derivatives on Minkowski Manifolds.- An
Introduction to Pseudotwistors: Spinor Solutions vs. Harmonic Forms and
Cohomology Groups.- Ordinary Differential Equation: Symmetries and Last
Multiplier.- Universal Similarity Factorization Equalities Over Complex.