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Clifford Algebras and Their Applications in Mathematical Physics, v. 1 - Algebra and Physics (Hardcover)
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Clifford Algebras and Their Applications in Mathematical Physics, v. 1 - Algebra and Physics (Hardcover)
Series: Progress in Mathematical Physics, v. 18
Expected to ship within 12 - 17 working days
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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.
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