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Clifford Algebras and Their Applications in Mathematical Physics: Volume 1: Algebra and Physics by R. Ablamowicz

Clifford Algebras and Their Applications in Mathematical Physics: Volume 1: Algebra and Physics

by R. Ablamowicz
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Book cover type: Hardcover
  • ISBN13: 9780817641825
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 492
  • Original Price: EUR 79.95
  • Language: English
  • Edition: N/A
  • Item Weight: 844 grams
  • BISAC Subject(s): Physics / Mathematical & Computational and Algebra / Linear

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.

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