1 citations · 1 across the 6 of their papers we have counts for
8 papers
Trace Coordinates and Local Fenchel--Nielsen Parameters in Real Hyperbolic 5-Space
Krishnendu Gongopadhyay, Sagar B. Kalane, Abhishek Mukherjee
We study representations of fundamental groups of closed orientable surfaces into \(\mathrm{SL}(2,\mathbb{H})\), whose projectivization \(\mathrm{PSL}(2,\mathbb{H})\) is the group…
Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature
Krishnendu Gongopadhyay, Sagar B. Kalane
Let denote the isometry group of quaternionic hyperbolic --space $\h^n$. A pair is \emph{strongly doubly reversible} if $(g…
Free and discrete subgroups generated by two quaternionic Heisenberg translations
Sagar B. Kalane, I. D. Platis
Let and be two Heisenberg translations of with distinct fixed points. We provide sufficient conditions that guarantee the subgroup i…
Free groups generated by two parabolic maps
Sagar B. Kalane, John R. Parker
In this paper we consider a group generated by two unipotent parabolic elements of with distinct fixed points. We give several conditions that guarantee the group i…
On Free Group Generated by Two Heisenberg Translations
Sagar B. Kalane, Devendra Tiwari
In this paper, we will discuss the groups generated by two Heisenberg translations of and determine when they are free. We improve a result given in \cite{xwy} by…
Local coordinates for complex and quaternionic hyperbolic pairs
Krishnendu Gongopadhyay, Sagar B. Kalane
Let or . We classify conjugation orbits of generic pairs of loxodromic elements in . Such pairs, called `non-singular', were introduced by…
On Conjugation orbits of semisimple pairs in rank one
Krishnendu Gongopadhyay, Sagar B. Kalane
We consider Lie groups and that act as the isometries of the complex and quaternionic hyperbolic spaces respectively. We classify pairs of semisimpl…
Quaternionic Hyperbolic Fenchel-Nielsen Coordinates
Krishnendu Gongopadhyay, Sagar B. Kalane
Let be the isometry group of the quaternionic hyperbolic plane . An element in is `hyperbolic' if it fixes exactly two points on th…