Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Geometric algebra
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
=== 20th century and present === Progress on the study of Clifford algebras quietly advanced through the twentieth century, although largely due to the work of [[abstract algebra]]ists such as [[Γlie Cartan]], [[Hermann Weyl]] and [[Claude Chevalley]]. The ''geometrical'' approach to geometric algebras has seen a number of 20th-century revivals. In mathematics, [[Emil Artin]]'s ''Geometric Algebra''{{sfn|ps=|Artin|1988}} discusses the algebra associated with each of a number of geometries, including [[affine geometry]], [[projective geometry]], [[symplectic geometry]], and [[orthogonal geometry]]. In physics, geometric algebras have been revived as a "new" way to do classical mechanics and electromagnetism, together with more advanced topics such as quantum mechanics and gauge theory.{{sfn|ps=|Doran|1994}} [[David Hestenes]] reinterpreted the [[Pauli matrices|Pauli]] and [[Gamma matrices|Dirac]] matrices as vectors in ordinary space and spacetime, respectively, and has been a primary contemporary advocate for the use of geometric algebra. In [[computer graphics]] and robotics, geometric algebras have been revived in order to efficiently represent rotations and other transformations. For applications of GA in robotics ([[screw theory]], kinematics and dynamics using versors), computer vision, control and neural computing (geometric learning) see Bayro (2010).
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)