Recent content by xitoa

oh well i thought you were asking for something other than the OP o.o intuitively...the transitive action takes one orbit to another orbit? the orbit should be {g*x} for x in X

the only definition i have for transitive action is transitive action on groups and I've posted it above...ahh:/

oh shoot. yes that's totally wrong lol... if a = b, b = c, then a = c. edit: could i be sending x to the whole set of X? could i send it to the whole thing or only one element of X? I'm not sure.

transitive: a(bc) = (ab)c and could i send x to itself transitively? say a(a^-1x) = (aa^-1)x?

Homework Statement A group G acts transitively on a non empty G-set S if, for all s1, s2 in S, there exists an element G in G such that g*s1 = s2. Characterize transitive G-set actions in terms of orbits. Prove your answer Homework Equations Transitive G-set Actions: for all s1, s2 in S...

W and C1 are both subspaces of V (which is \mathbb{C}^n) So doesn't that mean that\mathbb{C}\mathbf{1} + W = \mathbb{C}^n is true?

So, in my proof, I should state \mathbb{C}\mathbf{1} contains the zero vector because \mathbf{0} = 0\mathbf{1}, so that V is a direct sum of C1 and W?

Thanks for replying, I think i meant to ask if \mathbb{C}^n contains the zero vector. ie the 0 vector is an element of \mathbb{C}\mathbf{1} ?

Okay, so I have a few questions: 1) i think i could say that W is linearly dependent? since \lambda1 + \lambda2 + ... + \lambdan = 0 \in C 2) I'm not quite sure about what it means that 1=e1 + ... + en Does it mean that each en is something like <1,0,0...,0>, <0,1,0,...,0>, etc? 3)...

Homework Statement Let V=Cn and 1 be all ones vector 1 = e1 + ... +en. Let W be the subspace of V spanned by those vectors of the form \lambdae1 + \lambdae2 + ... + \lambdaen such that \lambda1 + ... + \lambdan= 0 \in C. Prove that there is a direct sum decomposition V=(C*1) \oplus W as...