We introduce special classes of irreducible representations of groups: thick representations and dense representations. Denseness implies thickness, and thickness implies irreducibility. We show that absolute thickness and absolute denseness are open conditions for representations. Thereby, we can construct the moduli schemes of absolutely thick representations and absolutely dense representations. We also describe several results and several examples on thick representations for developing a theory of thick representations.
"Thick representations and dense representations I." Kodai Math. J. 42 (2) 274 - 307, June 2019. https://doi.org/10.2996/kmj/1562032831