Question

Are there any geometrically meaningful/useful mixed-grade objects in geometric algebra other than rotors?

score 383 · Answer 1 · 2020-08-27 23:00:40

383

Views

Are there any geometrically meaningful/useful mixed-grade objects in geometric algebra other than rotors?

Published on 27 Aug 2020 - 23:00

score 387 · Answer 2 · 2020-09-29 22:24:11

387

Views

Is there a useful natural definition of norm in geometric algebra?

Published on 29 Sep 2020 - 22:24

score 96 · Answer 3 · 2020-09-30 13:57:24

96

Views

Clifford algebra quotient definition authorship

Published on 30 Sep 2020 - 13:57

score 94 · Answer 4 · 2020-10-14 16:36:46

94

Views

Definitions of a geometric algebra/exterior algebra

Published on 14 Oct 2020 - 16:36

score 593 · Answer 5 · 2020-11-12 20:32:12

593

Views

What is the difference between Emil Artin's Geometric Algebra and David Hestenes Geometric Algebra?

Published on 12 Nov 2020 - 20:32

score 357 · Answer 6 · 2020-11-25 09:37:37

357

Views

angle and plane of rotation in 3D geometric algebra

Published on 25 Nov 2020 - 9:37

score 345 · Answer 7 · 2020-12-05 21:23:26

345

Views

Sampling Random Rotations in $n$ Dimensions Using Bivectors

Published on 05 Dec 2020 - 21:23

score 266 · Answer 8 · 2020-12-08 12:19:11

266

Views

Recover a 4D Rotor in geometric algebra from rotated vectors

Published on 08 Dec 2020 - 12:19

score 85 · Answer 9 · 2020-12-17 05:31:04

85

Views

In a Clifford algebra over an $n$-dimensional positive-semidefinite space, is a product of any number of vectors a product of at most $n$ vectors?

Published on 17 Dec 2020 - 5:31

score 141 · Answer 10 · 2021-01-09 06:38:53

141

Views

What is an extension of an inner product space?

Published on 09 Jan 2021 - 6:38

score 208 · Answer 11 · 2021-02-21 20:28:51

208

Views

Invertability of a Multivector

Published on 21 Feb 2021 - 20:28

score 350 · Answer 12 · 2021-03-05 16:02:08

350

Views

Pseudovectors in Geometric / Clifford Algebra

Published on 05 Mar 2021 - 16:02

score 322 · Answer 13 · 2021-03-10 15:14:57

322

Views

What is the intuition behind the dot product between a vector and a bivector?

Published on 10 Mar 2021 - 15:14

score 219 · Answer 14 · 2021-03-11 21:46:32

219

Views

What is the equivalent of a change of basis in geometric algebra?

Published on 11 Mar 2021 - 21:46

score 251 · Answer 15 · 2021-03-15 00:27:12

251

Views

CGA Representation of an Ellipse

Published on 15 Mar 2021 - 0:27

List Question

Are there any geometrically meaningful/useful mixed-grade objects in geometric algebra other than rotors?

Is there a useful natural definition of norm in geometric algebra?

Clifford algebra quotient definition authorship

Definitions of a geometric algebra/exterior algebra

What is the difference between Emil Artin's Geometric Algebra and David Hestenes Geometric Algebra?

angle and plane of rotation in 3D geometric algebra

Sampling Random Rotations in $n$ Dimensions Using Bivectors

Recover a 4D Rotor in geometric algebra from rotated vectors

In a Clifford algebra over an $n$-dimensional positive-semidefinite space, is a product of any number of vectors a product of at most $n$ vectors?

What is an extension of an inner product space?

Invertability of a Multivector

Pseudovectors in Geometric / Clifford Algebra

What is the intuition behind the dot product between a vector and a bivector?

What is the equivalent of a change of basis in geometric algebra?

CGA Representation of an Ellipse

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