CLIFFORD ALGEBRAS AND THEIR APPLICATIONS IN MATHEMATICAL PHYSICS VOL 1 ALGEBRA AND PHYSICS (HB 2000)

ABLAMOWICZ R.

ISBN 10: 0817641823 / ISBN 13: 9780817641825

Verlag: SP SPRINGER, 2000

Brand New! Fast Delivery This is an International Edition and ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 6-10 days and we do have flat rate for up to 2LB. Extra shipping charges will be requested if the Book weight is more than 5 LB. This Item May be shipped from India, United states & United Kingdom. Depending on your location and availability. Bestandsnummer des Verkäufers CBS 9780817641825

Inhaltsangabe:

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.

Reseña del editor: The first part of a two-volume set concerning the field of Clifford (geometric) algebra, this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. This volume is devoted specifically to the mathematical aspects of Clifford algebras and their applications in physics. Algebraic geometry, cohomology, non-communicative spaces, "q"-deformations and the related quantum groups, and projective geometry provide the basis for algebraic topics covered. Physical applications and extensions of physical theories such as the theory of quaternionic spin, a projective theory of hadron transformation laws, and electron scattering are also presented, showing the broad applicability of Clifford geometric algebras in solving physical problems. Treatment of the structure theory of quantum Clifford algebras, the connection to logic, group representations, and computational techniques including symbolic calculations and theorem proving rounds out the presentation.

Bibliografische Details

Titel: CLIFFORD ALGEBRAS AND THEIR APPLICATIONS IN ...
Verlag: SP SPRINGER
Erscheinungsdatum: 2000
Einband: Hardcover
Zustand: New Books
Auflage: Internationale Ausgabe