I think this should have read "the wedge product of k vectors" ? I've been trying to coin a replacement for the "k-vector part" notation currently in use in GA for the terms of grade (polynomial degree) k within a given multivector --- on top of the (potential) ambiguity, it is simply too unwieldy when reading an expression aloud, or programming a computer! My current private neologism is "grator" or "k-grator" [contraction of "grade(d) vector"]. WFL On 3/15/10, Victor Miller <victorsmiller@gmail.com> wrote:
I somewhat agree. There is already the term k-tensor, and the wedge product of k-vectors is essentially like a k-tensor (strictly speaking Lambda^k V is a quotient of \otimes^V ).
Victor
On Sun, Mar 14, 2010 at 7:29 PM, Fred lunnon <fred.lunnon@gmail.com> wrote:
Indeed, the point I had made at the GA site was that the Clifford / Grassmann algebra usage should be deprecated, partly on these grounds. But now I'm beginning to wonder if said ambiguity resulted only from my confusing "k-vector" with "k-tuple", etc?
WFL
On 3/14/10, Victor Miller <victorsmiller@gmail.com> wrote:
Good reference, but that points out an ambiguity. The wikipedia article in question uses k-vector for the wedge product of k vectors of any fixed dimension. Fred uses it for a vector in a vector space of dimension k. I think that both terms are in use.
Victor
On Sun, Mar 14, 2010 at 2:25 PM, Mike Stay <metaweta@gmail.com> wrote:
On Sun, Mar 14, 2010 at 9:56 AM, <mcintosh@servidor.unam.mx> wrote:
Quoting Fred lunnon <fred.lunnon@gmail.com>:
Can anybody clarify the situation --- or better still, provide some relevant citations?
The phrase is commkon enough, but I don't have a reference handy.
-hvm
How about wikipedia? http://en.wikipedia.org/wiki/Multivector
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