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

Showing math.ACShow all

11 papers · 1 filter

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.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…

math.AC2015★ 1 cited

Gram-Schmidt-Vaserstein generators for odd sized elementary groups

Pratyusha Chattopadhyay, Ravi A. Rao

The Gram-Schmidt process of L.N. Vaserstein for making an elementary matrix symplectic yields a nice set of generators for the odd sized elementary group.

math.AC2014★ 2 cited

Extendability of quadratic modules over a polynomial extension of an equicharacteristic regular local ring

A. A. Ambily, Ravi A. Rao

We prove that a quadratic $A [T]$ -module $Q$ with Witt index ( $Q / T Q$ ) $\geq d$ , where $d$ is the dimension of the equicharacteristic regular local ring $A$ , is extended from $A$ . Th…