Hi all,

I want to define an algebra $A$ over the field of complex numbers via generators. After that I want to calculate (multiply and sum) some tensors in $A\otimes A$. How could I define my algebra?

More details: Let $n$ be a natural number $\ge 1$. My algebra should be given by generators $g^{\pm}_i$ for $i=1,...,n$ (so I have $2n$ generators). One relation should for example be $g^+_ig^+_j=-g^+_jg^+_i$ and $g^-_ig^-_j=-g_j^-g^-_i$.

It would be quite nice if someone can tell me how to do that.

Thank you very much. BG