ENGLISH

Clifford Algebras: An Introduction

By D. J. H. Garling

Book information

Publisher
Cambridge University Press
Year
2011
ISBN
1107096383, 9781107096387
Language
english
Format
DJVU
Filesize
3 MB (2646671 bytes)
Series
London Mathematical Society Student Texts 78
Pages
210\210
DPI
600
Time added
2013-05-03 15:19:26

Description

Clifford algebras, built up from quadratic spaces have applications in many areas of mathematics, as natural generalizations of complex numbers and the quaternions They are famously used in proofs of the Atiyah-Singer index theorem to provide double covers (spin groups) of the classical groups, and to generalize the Hilbert transform. They also have .their place in physics setting the scene for Maxwell's equations in electromagnetic theory, for the spin of elementary particles and for the Dirac equation. This straightforward introduction to Clifford algebras makes the necessary algebraic background - including multilinear algebra, quadratic spaces and finite-dimensional real algebras - easily accessible to research students and final-year undergraduates The author also introduces many applications in mathematics and physics, equipping the reader with Clifford algebras as a working tool in a variety of contexts.

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