Dimension sugroups of metabelian groups.
Dirac monopole derived from representation theory
Direct decompositions and basic subgroups in commutative group rings
An attractive interplay between the direct decompositions and the explicit form of basic subgroups in group rings of abelian groups over a commutative unitary ring are established. In particular, as a consequence, we give a simpler confirmation of a more general version of our recent result in this aspect published in Czechoslovak Math. J. (2006).
Direct Decompositions of Finitely Generated Torsion-Free Nilpotent Groups.
Direct finiteness of group rings - a simple proof of the Kaplansky's conjecture for finite groups
Discrete series and the unipotent subgroup
Double Coset Decompositions and Computational Harmonic Analysis on Groups.
Duality in G-algebras.
Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation
We consider representations of the fundamental group of the four punctured sphere into . The moduli space of representations modulo conjugacy is the character variety. The Mapping Class Group of the punctured sphere acts on this space by symplectic polynomial automorphisms. This dynamical system can be interpreted as the monodromy of the Painlevé VI equation. Infinite bounded orbits are characterized: they come from -representations. We prove the absence of invariant affine structure (and invariant...