**Clifford Algebra, Geometric Algebra, and Applications**

by Douglas Lundholm, Lars Svensson

**Publisher**: arXiv 2009**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.

Download or read it online for free here:

**Download link**

(960KB, PDF)

## Similar books

**Algebraic Invariants**

by

**Leonard E. Dickson**-

**J. Wiley & Sons**

This introduction to the classical theory of invariants of algebraic forms is divided into three parts: linear transformations; algebraic properties of invariants and covariants; symbolic notation of Aronhold and Clebsch.

(

**6184**views)

**Graduate Algebra**

by

**Leonard Evens**-

**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.

(

**9301**views)

**The Construction and Study of Certain Important Algebras**

by

**Claude Chevalley**-

**The Mathematical Society Of Japan**

This is the reproduction of the beautiful lectures delivered by Professor C. Chevalley at the University of Tokyo in April-June 1954. Contents: Graded algebras; Tensor algebras; Clifford algebras; Some applications of exterior algebras.

(

**6038**views)

**Hopf Algebras in General and in Combinatorial Physics: a practical introduction**

by

**G.H.E. Duchamp, et al.**-

**arXiv**

This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics.

(

**5740**views)