The phrase "as the representation of" is correct and usable in written English.
You can use it to refer to something that stands in for or symbolizes something else. For example, "She hoisted the flag up the pole, as the representation of her country's independence."
Philip Rosedale, the creator of Second Life, defines avatar in the gaming sense as "the representation of your chosen embodied appearance to other people in a virtual world".
He referred to some of the piano writing (much of it furiously difficult) as the representation of natural phenomena rather than written music.
As well as the representation of an apparently controversial subject, the artist is – at least according to the Sun – a Muslim.
Last year Chitra Nagarajan, a member of the activist group Black Feminists, started the influential "diversity audit" hashtag on Twitter, for people to log male or female representation, as well as the representation of other groups.
Bercow has deployed Speaker's committees to look at issues such as the representation of minorities in parliament, but it is the first time he has looked at how democracy can be reformed beyond parliament.
Historical narrative painting includes Classical mythology and heroic legend, as well as the representation of contemporary events; examples include Benjamin West's Death of Wolfe, Théodore Géricault's Raft of the Medusa, and Goya's The 3rd of May in Madrid.
Baumgarten then defines judgment as the representation of the perfection or imperfection of things.
A pharmacophore model can also be regarded as the representation of a collection of pharmacophore features.
LERAD defines a solution S as the representation of the normal behaviour of system calls.
As the representation of less common groups increases, the cultural richness of the whole increases as well.
As the representation of multilayered medium the Equivalent Single Layer approach with the First Order Shear Deformation kinematics is employed.
