2 citations · 2 across the 2 of their papers we have counts for
4 papers
On symmetric and twisted-unitary modular units in group rings
Laurent Bartholdi, Iuliya Beloshapka, Roman Mikhailov
We study units in group rings of the Hantzsche-Wendt group. We construct a compatible system of non-trivial unitary units over for every , and ``alm…
Irreducible representations of the group of unipotent matrices of order over integers
Iuliya Beloshapka
We study a coarse moduli space of irreducible representations of the group of unipotent matrices of order over the ring of integers which have finite weight. All such…
Harmonic Spheres in the Hilbert-Schmidt Grassmannian
Iuliya Beloshapka, Armen G. Sergeev
We give the twistor description of harmonic maps of the Riemann sphere into the Hilbert-Schmidt Grassmannian. The study of such maps is motivated by the harmonic spheres conjecture…
Irreducible representations of finitely generated nilpotent groups
Iuliya Beloshapka, Sergey Gorchinskiy
We prove that irreducible complex representations of finitely generated nilpotent groups are monomial if and only if they have finite weight, which was conjectured by Parshin. Note…