Re: Anticommutativity involving odd part of clifford algebras.
Originally Posted by idontknowanything
I want to show that if w∈Cℓ1(V,Q) anticommutes with all v∈V, then w=0. I've been having a bit of trouble though.
Hint: Recall that if , then there is a certain symmetric bilinear form in terms of such that for all . Clearly then the result follows. If you aren't aware of this result, this at least tells you which to plus in to anti commutativity to get that (namely, )