26 papers
On the Product of Coninvolutory Affine Transformations
Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal
A complex matrix is called \emph{coninvolutory} if . In this paper, we study decompositions of affine transformations in $\mathrm{Aff}(n,\mathbb{C})=\mathrm{GL}(n,…
Combinatorial Structure of Inert and Ambiguous Classes in Modular Group
Debattam Das, Krishnendu Gongopadhyay, Khushi Mishra
We study inert, and ambiguous conjugacy classes in the modular group from a purely combinatorial perspective. Using word length in the free product rep…
Thurston's asymmetric metric on Margulis spacetimes
Krishnendu Gongopadhyay, Neelanjan Mondal
In this article, we extend Thurston's asymmetric metric and the associated Finsler norm, originally defined for Teichmüller space, to the setting of Margulis spacetimes. We also es…
Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature
Krishnendu Gongopadhyay, Sagar B. Kalane
Let $\PSp(n,1)$ denote the isometry group of the quaternionic hyperbolic space . A pair $\PSp(n,1)$ is \emph{strongly doubly reversible} if an…
Functorial Free Group from Anosov Representations on Bundles
Krishnendu Gongopadhyay, Tathagata Nayak
Let be an Anosov representation, with a word hyperbolic group and a semisimple Lie group. Previous works (Guichard--Wienhard, Kapovich--Leeb--Porti, and Carvaja…
Conjugate reversibility in complex special linear groups
Krishnendu Gongopadhyay, Rahul Mondal
We introduce and study conjugate reversibility (or -reversibility) in the complex special linear group $\SL(n,\C)$ where an element is conjugate to the inverse of its complex co…