Arithmetic geometry, at its core, investigates the rich interplay between number theory and geometry. In the context of unitary groups—algebraic groups defined as the symmetries of Hermitian forms—the ...

Abstract: Let F be a totally real number field, n a prime integer, and G a unitary group of rank n defined over F that is compact at infinity. We derive an asymptotic formula for the number of ...

Proceedings of the American Mathematical Society, Vol. 56, No. 1 (Apr., 1976), pp. 363-364 (2 pages) A criterion is given for a compact connected subgroup of $\mathrm{Gl}(n, \mathbf{C})$ to be ...

This paper gives a description of the local structures of 2-radical subgroups in a finite unitary group and proves Alperin's weight conjecture for finite unitary groups when the characteristic of ...

Title Actions of the unitary group on irreducible/primitive polynomials and their applications to randomness of sequences ...

For this Lie group, several implementations are already covered by the defaults in [the generic (matrix) multiplication operation](@ref multiplication-operation-sec).