Not to be confused with group presentation. Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
The signature effect of HIV infection, and the cause of AIDS, is disruption of the T-lymphocyte branch of the immune system and in particular the destruction of CD4+ T-helper cells.
HIV-1 enters immune cells through a protein receptors found on 'Helper' T cells, Macrophages and Microglial cells. There are variants and mutations which use different receptors, but the virus replicates in either CD4+ T cells (helper T cells) or in macrophages.