**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

**Lectures On Unique Factorization Domains**

by

**P. Samuel**-

**Tata Institute Of Fundamental Research**

In this book we shall study some elementary properties of Krull rings and factorial rings, regular rings (local and factorial), and descent methods (Galoisian descent, the Purely inseparable case, formulae concerning derivations).

(

**8418**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.

(

**8108**views)

**Commutator Theory for Congruence Modular Varieties**

by

**Ralph Freese, Ralph McKenzie**-

**Cambridge University Press**

This book presents the basic theory of commutators in congruence modular varieties and some of its strongest applications. The authors take an algebraic approach, using some of the shortcuts that Taylor and others have discovered.

(

**10780**views)

**Lectures on Quadratic Forms**

by

**C.L. Siegel**-

**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.

(

**9560**views)