# Gauge theory and representation theory

I know and understand from standard gauge theory the fundamental (and anti-fundamental) and the adjoint representations. This is standard when considering for example QCD or say Seiberg-Witten theory to name two examples.

Still, in more advanced studies one can encounter various other types of representations. For example in quiver gauge theories one encounters the bifundamental representations.

I have encountered in various papers some of the following representations: pseudo-real representation, tensor representation, matter representation, twisted representation.

All this seems quite confusing to me since, at least in mathematics text books I have not encountered something similar. So, is there a reference or a guide to all possible types of representations?

I mean what is the difference of a real and pseudo-real and also complex? Is matter the quartenionic representation? Are fundamental and adjoint also split in real and pseudo-reals?

Finally, would you recommend some text where a lost soul could read about these?