activity
20082023
most citedOn the Structure of Involutions and Symmetric Spaces of Dihedral Groups

3 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

nlin.SI2023

A construction of solutions of an integrable deformation of a commutative Lie algebra of skew hermitian -matrices

Aloysius Helminck, Gerardus Helminck

Inside the algebra of -matrices with coefficients from a commutative -algebra that have only a finite number of n…

math.RT2014

Isomorphy Classes of Involutions of ,

Robert W. Benim, Aloysius G. Helminck, Farrah Jackson

A first characterization of the isomorphism classes of -involutions for any reductive algebraic groups defined over a perfect field was given by Helminck in 2000 using invar…

math.RT2014

Isomorphy Classes of -Involutions of ,

Robert W. Benim, Christopher E. Dometrius, Aloysius G. Helminck +1

A first characterization of the isomorphism classes of -involutions for any reductive algebraic group defined over a perfect field was given in \cite{Helm2000} using invaria…

math.GR2012★ 3 cited

On the Structure of Involutions and Symmetric Spaces of Dihedral Groups

Katrina K. A. Cunningham, Tom J. Edgar, Aloysius G. Helminck +4

We initiate the study of analogues of symmetric spaces for the family of finite dihedral groups. In particular, we investigate the structure of the automorphism group, characterize…

math.RT2008★ 1 cited

Real double coset spaces and their invariants

Aloysius G. Helminck, Gerald W. Schwarz

Let G be a real form of a complex reductive group. Suppose that we are given involutions σand θof G. Let H=G^σdenote the fixed group of σand let K=G^θdenote the fixed group of θ. W…