User talk:L12345p

Exterior Algebra wikipedia page : Hodge duality source information
Hello

In the Exterior Algebra page, Hodge duality section it is mentionned a recursive definition on the inner product:

ia^b = ib o ia

No reference is mentionned for this information, and I don't find in classic books something defining the inner product of k-vectors and k-forms, when the k-vector is more than a 1-vector.

Furthermore using SageMath, I find a k! factor, ratio when trying to verify the formula.

Has anyone got a clue?

I am new on talking with wikipedia, so not sure I do it in the right way. Pls accept my apologies if I do wrongly.

Thanks you kindly for an answer. L12345p (talk) 15:58, 4 December 2023 (UTC)
 * Since this is a question about content, it's off-topic for use of the help templates. I suggest asking it at Talk:Exterior algebra. Or perhaps at WP:reference desk/Mathematics.  — jmcgnh (talk) (contribs) 16:17, 4 December 2023 (UTC)
 * OK, thanks for your answer. Will do L12345p (talk) 16:19, 4 December 2023 (UTC)