**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

**Workbook in Higher Algebra**

by

**David Surowski**

A set of notes for a Higher Algebra course. It covers Group Theory, Field and Galois Theory, Elementary Factorization Theory, Dedekind Domains, Module Theory, Ring Structure Theory, Tensor Products, Zornâ€™s Lemma and some Applications.

(

**15861**views)

**Abstract Algebra: The Basic Graduate Year**

by

**Robert B. Ash**

Text for a graduate course in abstract algebra, it covers fundamental algebraic structures (groups, rings, fields, modules), and maps between them. The text is written in conventional style, the book can be used as a classroom text or as a reference.

(

**17942**views)

**New Directions in Hopf Algebras**

by

**S. Montgomery, H. Schneider**-

**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.

(

**11083**views)

**Hopf Algebras, Quantum Groups and Yang-Baxter Equations**

by

**Florin Felix Nichita (ed.)**-

**MDPI AG**

Various aspects of the Yang-Baxter equation, related algebraic structures, and applications are presented. The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed.

(

**4775**views)