Sagar B Kalane

collaborators

3 papers

math.GT2026

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…

math.GR2025

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature $(n, 1)$

Krishnendu Gongopadhyay, Sagar B. Kalane

Let $\PSp(n,1)$ denote the isometry group of the quaternionic hyperbolic space $H^{n}$ . A pair $(g_{1}, g_{2})$ $\PSp(n,1)$ is \emph{strongly doubly reversible} if $(g_{1}, g_{2})$ an…

math.GR2025

Free and discrete subgroups generated by two quaternionic Heisenberg translations

Sagar B. Kalane, I. D. Platis

Let $A$ and $B$ be two Heisenberg translations of $Sp (2, 1)$ with distinct fixed points. We provide sufficient conditions that guarantee the subgroup $⟨ A, B ⟩$ i…

Trace Coordinates and Local Fenchel--Nielsen Parameters in Real Hyperbolic 5-Space

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature (n,1)

Free and discrete subgroups generated by two quaternionic Heisenberg translations

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature $(n, 1)$