Ideal Structure of Clifford Algebras

TL;DR

This paper investigates the ideal structures of Clifford algebras, including cases where they are infinite dimensional and degenerate over the real numbers, providing insights into their algebraic properties.

Contribution

It offers a detailed analysis of the ideal structures in Clifford algebras, especially in complex cases involving infinite dimensionality and degeneracy.

Findings

Characterization of ideal structures in infinite dimensional Clifford algebras

Identification of properties of degenerate Clifford algebras over real numbers

Insights into the algebraic and geometric implications of ideal structures

Abstract

The structures of the ideals of Clifford algebras which can be both infinite dimensional and degenerate over the real numbers are investigated.