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: Noncommutative RingsNoncommutative Rings
by
From the table of contents: Morita equivalence (Hom, Bimodules, Projective modules ...); Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.
(13755 views)
Book cover: An Introduction to the Algebra of QuanticsAn Introduction to the Algebra of Quantics
by - The Clarendon Press
The primary object of this book is that of explaining with all the clearness at my command the leading principles of invariant algebra, in the hope of making it evident to the junior student that the subject is attractive as well as important.
(13230 views)
Book cover: Lectures on Quadratic FormsLectures on Quadratic Forms
by - Tata Institute of Fundamental Research
From the table of contents: Vector groups and linear inequalities (Vector groups, Lattices, Characters, Diophantine approximations); Reduction of positive quadratic forms; Indefinite quadratic forms; Analytic theory of Indefinite quadratic forms.
(13940 views)
Book cover: On Lie Algebras Of Prime CharacteristicOn Lie Algebras Of Prime Characteristic
by - American Mathematical Society
The purpose of the present memoir is to demonstrate the applicability, under certain restrictions on the algebra and the base field, of the techniques used in the determination of all simple Lie algebras of characteristic zero.
(9169 views)