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Hello,
we defined the wedgeproduct as follows
Alt is the Alternator and the argument of Alt is the Tensor poduct of one kform and a lform (in this order w and eta).
Suppose we have the wedge product of a 0form (a smooth function) and a lform , so the following may result:
$$\frac{1}{l!} \sum_{\sigma \in S_k} sgn(\sigma) f \eta(v_{\sigma(1)},...,v_{\sigma(l)}).$$
Does it hold to say that it is equal to $$f*\eta?$$
we defined the wedgeproduct as follows
Alt is the Alternator and the argument of Alt is the Tensor poduct of one kform and a lform (in this order w and eta).
Suppose we have the wedge product of a 0form (a smooth function) and a lform , so the following may result:
$$\frac{1}{l!} \sum_{\sigma \in S_k} sgn(\sigma) f \eta(v_{\sigma(1)},...,v_{\sigma(l)}).$$
Does it hold to say that it is equal to $$f*\eta?$$
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