sudgylacmoe | Geometric Algebra and Grading @sudgylacmoe | Uploaded February 2024 | Updated October 2024, 4 hours ago.
One of the most important aspects of geometric algebra is the grading. However, for many people, this is the first time they encounter the concept of grading, so they don't know the relevant definitions. In this short, I show these definitions, and how they imply that while geometric algebra is both an algebra and a graded space, it is not a graded algebra.
Also, I know that under the Z/2Z grading, GA is a graded algebra. However, we don't use that grading too much, and the N-grading is much more useful.
Discord: discord.gg/3Zj59zA2Rg
Patreon: patreon.com/sudgylacmoe
Patreon Supporters:
Christoph Kovacs
David Johnston
Jason Killian
p11
Richard Penner
Rosario
trb
One of the most important aspects of geometric algebra is the grading. However, for many people, this is the first time they encounter the concept of grading, so they don't know the relevant definitions. In this short, I show these definitions, and how they imply that while geometric algebra is both an algebra and a graded space, it is not a graded algebra.
Also, I know that under the Z/2Z grading, GA is a graded algebra. However, we don't use that grading too much, and the N-grading is much more useful.
Discord: discord.gg/3Zj59zA2Rg
Patreon: patreon.com/sudgylacmoe
Patreon Supporters:
Christoph Kovacs
David Johnston
Jason Killian
p11
Richard Penner
Rosario
trb