146 citations · 160 across the 9 of their papers we have counts for
9 papers
Schur Index and Extensions of Witt-Berman's Theorems
Ravindra Shripad Kulkarni, Soham Swadhin Pradhan
Let be a finite group, and a field of characteristic or prime to the order of . In , Witt and in , Berman independently proved that the number of inequiv…
Representations and primitive central idempotents of a finite solvable group
Ravi S. Kulkarni, Soham Swadhin Pradhan
Let be a finite solvable group. Then always has a useful presentation, which we call a "long presentation". Using a "long presentation" of , we present an inductive meth…
Primitive Central idempotents and the Wedderburn Decomposition of a Rational Abelian Group Algebra
Ravi S. Kulkarni, Soham S. Pradhan
In this paper we give an explicit description of primitive central idempotents of rational group algebras of finite abelian groups using long presentation, and determine their Wedd…
Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
Paolo Facchi, Ravi Kulkarni, V. I. Man'ko +3
The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrica…
The z-Classes of Isometries
Krishnendu Gongopadhyay, Ravi S. Kulkarni
Let G be a group. Two elements x,y are said to be in the same z-class if their centralizers are conjugate in G. Let V be a vector space of dimension n over a field F of characteris…
On the existence of an invariant non-degenerate bilinear form under a linear map
Krishnendu Gongopadhyay, Ravi S. Kulkarni
Let $\V$ be a vector space over a field $\F$. Assume that the characteristic of $\F$ is \emph{large}, i.e. $char(\F)>\dim \V$. Let $T: \V \to \V$ be an invertible linear map. We an…