- #1
arthurhenry
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Homework Statement
Suppose the standard coordinates in R^4 are x,y,x,w.
We have a differential 2-form a= z dx \wedge dy.
Trying to evaluate Alt(a)
I am trying to see this form as a bilinear form that acts on a pair of vectors so that I can apply the Alt operator formula. I am able understand the formula for the operator that makes a form alternating (i.e. The Alt operator), but I cannot apply it in this case.
Homework Equations
I bet I would be able to approach this problem one way or the other if I had found some source that can explain where these notions originate...originate in the sense: I see them in a math book and I would like to know why people needed this definition and to address what, etc. I tried reading different sources, but I am still here. (I have looked at David Bachmann's notes, they are very good, but I am still missing something)
The Attempt at a Solution
I am trying to see this form as a bilinear form that acts on a pair of vectors so that I can apply the Alt operator formula. I am able understand the formula for the operator that makes a form alternating (i.e. The Alt operator), but I cannot apply it in this case.
Thank you for your time