Geodesic
Supercharacter Theories of Type A Unipotent Radicals and Unipotent Polytopes
Séminaire lotharingien de combinatoire, 78B (2017)

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Even with the introduction of supercharacter theories, the representation theory of many unipotent groups remains mysterious. This paper constructs a family of supercharacter theories for normal pattern groups in a way that exhibit many of the combinatorial properties of the set partition combinatorics of the full uni-triangular groups, including combinatorial indexing sets, dimensions, and computable character formulas. Associated with these supercharacter theories is also a family of polytopes whose integer lattice points give the theories geometric underpinnings. 

@article{SLC_2017_78B_a8,
     author = {Nathaniel Thiem},
     title = {Supercharacter {Theories} of {Type} {A} {Unipotent} {Radicals} and {Unipotent} {Polytopes}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a8/}
}
TY  - JOUR
AU  - Nathaniel Thiem
TI  - Supercharacter Theories of Type A Unipotent Radicals and Unipotent Polytopes
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a8/
ID  - SLC_2017_78B_a8
ER  - 
%0 Journal Article
%A Nathaniel Thiem
%T Supercharacter Theories of Type A Unipotent Radicals and Unipotent Polytopes
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a8/
%F SLC_2017_78B_a8
Nathaniel Thiem. Supercharacter Theories of Type A Unipotent Radicals and Unipotent Polytopes. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a8/