Supercharacter theories of type A unipotent radicals and unipotent polytopes Journal Article uri icon

Overview

abstract

  • 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.

publication date

  • January 29, 2018

has restriction

  • hybrid

Date in CU Experts

  • January 25, 2019 1:47 AM

Full Author List

  • Thiem N

author count

  • 1

Other Profiles

Electronic International Standard Serial Number (EISSN)

  • 2589-5486

Additional Document Info

start page

  • 23

end page

  • 45

volume

  • 1

issue

  • 1