3 papers
math.RT2026
The classification of thick representations of the symmetric group
Kazunori Nakamoto, Shingo Okuyama, Yasuhiro Omoda
We give the classification of thick representations and dense representations of the symmetric group over a field of characteristic zero.
math.RT2020
The classification of thick representations of simple Lie groups
Kazunori Nakamoto, Yasuhiro Omoda
We characterize finite-dimensional thick representations over of connected complex semi-simple Lie groups by irreducible representations which are weight multiplicity-fr…
math.AG2015
Special classes of irreducible representations I
Kazunori Nakamoto, Yasuhiro Omoda
We introduce special classes of irreducible representations of groups: thick representations and dense representations. Denseness implies thickness, and thickness implies irreducib…