Introduction to Noncommutative Algebraic Geometry (First Draft)

TL;DR

This paper introduces the foundational concepts and tools of noncommutative algebraic geometry, including graded skew Clifford algebras, highlighting their development and significance in the field.

Contribution

It provides an introductory overview of noncommutative algebraic geometry and presents graded skew Clifford algebras, emphasizing their historical development and mathematical importance.

Findings

Introduces key tools of noncommutative algebraic geometry.

Details the construction and properties of graded skew Clifford algebras.

Highlights the historical context and significance of these mathematical structures.

Abstract

This Lecture Notes is meant to introduce noncommutative algebraic geometry tools (which were invented by M. Artin, W. Schelter, J. Tate, and M. Van den Bergh in the late 1980s) and also graded skew Clifford algebras (which were introduced by T. Cassidy and M. Vancliff).