Logo

Clifford Algebra, Geometric Algebra, and Applications

Small book cover: Clifford Algebra, Geometric Algebra, and Applications

Clifford Algebra, Geometric Algebra, and Applications
by

Publisher: arXiv
Number of pages: 117

Description:
These are lecture notes for a course on the theory of Clifford algebras, with special emphasis on their wide range of applications in mathematics and physics. Clifford algebra is introduced both through a conventional tensor algebra construction with geometric applications in mind, as well as in an algebraically more general form which is well suited for combinatorics, and for defining and understanding the numerous products and operations of the algebra.

Home page url

Download or read it online for free here:
Download link
(960KB, PDF)

Similar books

Book cover: Graduate AlgebraGraduate Algebra
by - Northwestern University
Contents: Groups; Group actions on sets; Normal series; Ring theory; Modules; Hom and tensor; Field theory; Galois theory; Applications of Galois theory; Infinite extensions; Categories; Multilinear algebra; More ring theory; Localization; etc.
(7993 views)
Book cover: New Directions in Hopf AlgebrasNew Directions in Hopf Algebras
by - Cambridge University Press
Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras, and other areas. The book gives a clear picture of the current trends, with a focus on what will be important in future research.
(6954 views)
Book cover: The OctonionsThe Octonions
by - University of California
The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.
(12959 views)
Book cover: Smarandache Near-ringsSmarandache Near-rings
by - American Research Press
Near-rings are one of the generalized structures of rings. This is a book on Smarandache near-rings where the Smarandache analogues of the near-ring concepts are developed. The reader is expected to have a background in algebra and in near-rings.
(7578 views)