2 citations · 3 across the 4 of their papers we have counts for
4 papers
Semisimple symplectic characters of finite unitary groups
C. Ryan Vinroot
Let be the finite unitary group, with the power of an odd prime . We prove that the number of irreducible complex characters of with…
Alvis-Curtis duality, central characters, and real-valued characters
C. Ryan Vinroot
We prove that Alvis-Curtis duality preserves the Frobenius-Schur indicators of characters of connected reductive groups of Lie type with connected center. This allows us to extend…
Values of characters sums for finite unitary groups
Nathaniel Thiem, C. Ryan Vinroot
A known result for the finite general linear group $\GL(n,\FF_q)$ and for the finite unitary group $\U(n,\FF_{q^2})$ posits that the sum of the irreducible character degrees is equ…
Gelfand-Graev characters of the finite unitary groups
Nathaniel Thiem, C. Ryan Vinroot
Gelfand-Graev characters and their degenerate counterparts have an important role in the representation theory of finite groups of Lie type. Using a characteristic map to translate…