Not signed in (Sign In)

Start a new discussion

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2016

    gave geometric algebra an Idea-section

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 15th 2016

    That prompted a trip back to your discussion of geometric algebra, including lengthy extracts from Clifford algebra and the interpretation of quantum mechanics (pdf) and the claim

    the electron is a quaternion

    Further back you were helping us visualise the superstring.

    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeDec 15th 2016

    Remember that Geometric Algebra was also the title of a lovely book by Emil Artin. It introduces Clifford algebras around page 190

    • CommentRowNumber4.
    • CommentAuthorDexter Chua
    • CommentTimeDec 22nd 2016

    It appears that there is also a page Geometric Algebra with very similar content.

    • CommentRowNumber5.
    • CommentAuthorTobyBartels
    • CommentTimeDec 22nd 2016

    @Dexter: In principle, a page with that title ought to be about Artin's book.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 23rd 2016

    Thanks. I have fixed it now. Added disambiguation lines and made “Geometric Algebra” a stub for a category:reference page.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMay 16th 2019
    • (edited May 16th 2019)

    added pointer to

    • Chis Doran, Geometric Algebra and its Application to Mathematical Physics, 1994 (pdf)

    diff, v3, current

  1. Scalars in geometric algebra are real numbers making geometric algebra the real Clifford algebra.

    Anonymous

    diff, v4, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 18th 2020

    I have reverted and adjusted my original wording by mentioning real numbers as a ground field. (We really can’t claim that “geometric algebra is s subfield of Clifford algebra. It’s just playing with Clifford algebra in an ideosyncratic way.)

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)