Talk:Pseudoscalar

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Physics portal v • d • e This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.  Start  This article has been rated as Start-Class on the project's quality scale.  Low  This article has been rated as Low-importance on the project's importance scale. Comments: edit  · history  · watch  · purge --Cronholm144 10:15, 16 June 2007 (UTC)

[edit] Canonical bundle

I have just one question: canonical bundle is defined as the n-th exterior power of the contangent space, would it not be more aproppriate to define the pseudoscalar as element of the n-th exterior power of the tangent (vector) space? Probably its the same, I m just confused. —Preceding unsigned comment added by 195.113.34.69 (talk) 14:30, 8 November 2007 (UTC)

I had written a lengthy post about confusion with the "dual" to which the writer refers. It turns out it's the Hodge dual. It's not as simple as popping in a single word, so I'll try to edit it in, adjusting as little as possible, but preserving the mathematical precision, tomorrow afternoon. Warrickball (talk) 22:03, 21 May 2008 (UTC)

[edit] Removal of Clifford algebra section + request for help

I have removed the given Clifford algebra as the given pseudoscalar element did not commute with the vectors.

Regarding the definition, I must confess that I'm a bit at a loss. The top-grade element of Clifford algebra commutes with all other elements and flips under parity transformations iff the underlying basis is of odd dimension. Otherwise it does neither. And despite having done a fair bit of reading on Clifford algebras, I'm not sure what the accepted definition of a pseudoscalar is. —Preceding unsigned comment added by Star trooper man (talk • contribs) 12:03, 1 July 2009 (UTC)