Question

Are Clifford and exterior algebras isomorphic as "wedge product algebras"?

score 2.3k · Answer 1 · 2017-01-20 13:07:47

2.3k

Views

Are Clifford and exterior algebras isomorphic as "wedge product algebras"?

Published on 20 Jan 2017 - 13:07

score 2.3k · Answer 2 · 2017-03-30 20:39:21

2.3k

Views

Is Hestenes's Geometric Algebra widely accepted?

Published on 30 Mar 2017 - 20:39

score 65 · Answer 3 · 2023-02-01 05:01:05

65

Views

In Geometric Algebra, does $A\tilde A=0$ imply $\tilde AA=0$?

Published on 01 Feb 2023 - 5:01

score 67 · Answer 4 · 2023-02-15 08:52:01

67

Views

Geometric algebra sweeping surface/change of basis

Published on 15 Feb 2023 - 8:52

score 46 · Answer 5 · 2023-02-21 07:13:36

46

Views

How do you prove this determinant-related identity in geometric algebra?

Published on 21 Feb 2023 - 7:13

score 114 · Answer 6 · 2023-02-27 17:04:03

114

Views

Can Fast Fourier Transform (FFT) be implemented using Clifford Algebra over GF(3)?

Published on 27 Feb 2023 - 17:04

score 29 · Answer 7 · 2023-03-19 02:02:01

How do you show that $\textsf f(e_1) \wedge \textsf f(e_2) I^{-1} = \det (\textsf f) \bar{\textsf f}^{-1} (e_3)$ in geometric algebra in 3D?

score 33 · Answer 8 · 2023-03-26 14:07:29

33

Views

Is there a field with infinite elements and $2^k$-th roots of unity as integers or integer vectors?

Published on 26 Mar 2023 - 14:07

score 112 · Answer 9 · 2023-04-05 01:08:43

112

Views

For an even multivector $A$, if the map $X\mapsto AX\tilde A$ preserves grade, must $A$ be a product of vectors?

Published on 05 Apr 2023 - 1:08

score 48 · Answer 10 · 2023-04-19 09:38:26

48

Views

Geometric product of 2 r-blades

Published on 19 Apr 2023 - 9:38

score 147 · Answer 11 · 2023-06-13 15:54:31

147

Views

Do all bivectors simplify to 2-blades in seven-dimensional space?

Published on 13 Jun 2023 - 15:54

score 76 · Answer 12 · 2023-06-13 16:39:26

76

Views

Taking the geometric derivative of $e^{\frac{1}{2}\left[\gamma_0 \vec{k} \vec{x} \gamma^0 - \vec{x} \gamma^0 \gamma_0 \vec{k}\right]}$

Published on 13 Jun 2023 - 16:39

score 56 · Answer 13 · 2023-06-27 12:57:46

56

Views

Solving a equation with a 2-form/bivector differential equation

Published on 27 Jun 2023 - 12:57

score 138 · Answer 14 · 2026-02-23 08:58:16

138

Views

For what types of objects is the outer product defined in geometric algebra?

Published on 23 Feb 2026 - 8:58

score 33 · Answer 15 · 2023-07-19 05:25:41

33

Views

Outer product for r vectors in terms of the geometric product

Published on 19 Jul 2023 - 5:25

List Question

Are Clifford and exterior algebras isomorphic as "wedge product algebras"?

Is Hestenes's Geometric Algebra widely accepted?

In Geometric Algebra, does $A\tilde A=0$ imply $\tilde AA=0$?

Geometric algebra sweeping surface/change of basis

How do you prove this determinant-related identity in geometric algebra?

Can Fast Fourier Transform (FFT) be implemented using Clifford Algebra over GF(3)?

How do you show that $\textsf f(e_1) \wedge \textsf f(e_2) I^{-1} = \det (\textsf f) \bar{\textsf f}^{-1} (e_3)$ in geometric algebra in 3D?

Is there a field with infinite elements and $2^k$-th roots of unity as integers or integer vectors?

For an even multivector $A$, if the map $X\mapsto AX\tilde A$ preserves grade, must $A$ be a product of vectors?

Geometric product of 2 r-blades

Do all bivectors simplify to 2-blades in seven-dimensional space?

Taking the geometric derivative of $e^{\frac{1}{2}\left[\gamma_0 \vec{k} \vec{x} \gamma^0 - \vec{x} \gamma^0 \gamma_0 \vec{k}\right]}$

Solving a equation with a 2-form/bivector differential equation

For what types of objects is the outer product defined in geometric algebra?

Outer product for r vectors in terms of the geometric product

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