R. A. Rao

activity

20092022

most citedOn stably free modules over affine algebras

43 citations · 64 across the 12 of their papers we have counts for

collaborators

14 papers

math.KT2022

Generalised homotopy and commutativity principle

Ravi A. Rao, Sampat Sharma

In this paper, we study the action of special $n \times n$ linear (resp. symplectic) matrices which are homotopic to identity on the right invertible $n \times m$ matrices. We also…

math.AC2020★ 1 cited

The quotient Unimodular Vector group is nilpotent

Reema Khanna, Selby Jose, Sampat Sharma +1

Jose-Rao introduced and studied the Special Unimodular Vector group $S U m_{r} (R)$ and $E U m_{r} (R)$ , its Elementary Unimodular Vector subgroup. They proved that for $r \geq 2$ , $EUm_r(R)…

math.KT2018

The Pillars of Relative Quillen--Suslin Theory

Rabeya Basu, Reema Khanna, Ravi A. Rao

We deduce the relative version of the equivalences relating the relative Local Global Principle and the Normality of the relative Elementary subgroups of the traditional classical…

math.AC2018★ 7 cited

Stability results for projective modules over Rees algebras

Ravi A. Rao, Husney Parvez Sarwar

We provide a class of commutative Noetherian domains $R$ of dimension $d$ such that every finitely generated projective $R$ -module $P$ of rank $d$ splits off a free summand of rank…

math.AC2017★ 2 cited

Normality of DSER elementary orthogonal group

A. A. Ambily, Ravi A. Rao

Let $(Q, q)$ be a quadratic space over a commutative ring $R$ in which $2$ is invertible, and consider the Dickson--Siegel--Eichler--Roy's subgroup $E O_{R} (Q, H (R)^{m})$ of the ort…

math.AC2017

Homotopy and Commutativity Principle

Ravi A. Rao, Sampat Sharma

In this article, we prove commutativity principal for linear, symplectic and transvection groups. This principle is a consequence of Quillen-Suslin local global principle and using…