Clifford Algebra

A brief introduction to Clifford Algebras and their geometrical interpretation.

[alphalunamare]

I have recently started looking at Geometric Algebra and this popped up on my feed ....thank goodness! :-)

[alanbromborsky]

Links that might be of interest:

Galgebra - Python library for symbolic geometric algebra -


Clifford - Python library for numerical geometric algebra -

[catherinegrimes]

I think that the direction of your arrow for e23 could be wrong, the arrow goes along the first axis in the bivector. So for e23, it should go along the e2 axis in the positive direction then go along the e3 axis in the negative direction.

[theredzepi]

In the fifteenth minute you say that a crossproduct between two vectors only exists in 3 dimensions, but in fact it also exists in the seventh dimension.

[asdfasdfasdfasdf]

Very nice indeed!!!


Is there any intuitive way to compare and contrast geometric algebra with tensor algebra?

[leotilson]

Very nice and clear introduction.
Note at 10:53: A father intended to name his new son John, but was advised not to do so by a friend. "Every Tom, Dick and Harry is called John"

[tombouie]

Short&sweet, thks & request a short series.
Clifford Algebras and Spinors is a hundred bucks. Request a suitable replacement.

[TheYamajiis]

Great Video!
However, I highly doubt, there is anyone out there, who looks up tutorials on Clifford algebra, while not knowing what a scalar is.

[petrescudumitru]

Diffuse and confused is a multivector?

[chadliampearcy]

Can you show us an concrete example. Inserting actual numbers into all the constants that would help greatly to see the algebra as a something real.

[connorfrankston]

Well, the cross product is dual to the wedge product, anyway.

[Mgaak]

Around 12:00 you write down the bivectors and then you make a symbolic figure:
1) Shouldn't it be a(31) not a(13) (cause of the even permutation) ?
2) Also, on the figure, the "curl" of a(12) shouldn't be clockwise ?
3) Doesn't Quaternions lead to possible 1=-1 and negative kinetic energy Hamiltonian ?

[finaltheorygames]

Please get a longer pencil its bugging me and making me feel strange the way you are holding the pencil.

[cookiecrumbles]

Why don’t you brush up on your presentation? Are you trying to teach Clifford Alg to high school sophomores?

[johnholmes]

yuck...why introduce physical models, the ain't much use

[Atrix]

Great video! I wish you had a video on the Fourier transform in Clifford analysis. Trying to understand it and not having much luck :)