Table of Contents

From the Preface

This brief is a write-up of materials presented at lectures and short introductory courses delivered by the author in the last few years. Its purpose is to offer an axiomatic presentation of geometric algebra and to indicate how it is applied to the study of several groups associated to a real (regular) orthogonal space. Dubbed as “spinorial” in the title, they include the versor, pinor, spinor, and rotor groups.

Since the most basic mathematical concepts we need are summarized in the first chapter, our treatment is not only elementary but essentially self-contained and rigorous, and hence it should be useful to people having mastered basic undergraduate mathematics courses, including some familiarity with vector spaces and linear maps (linear algebra).