9 citations · 10 across the 15 of their papers we have counts for
16 papers
Triangular and Unitriangular Factorization of Twisted Chevalley Groups
Shripad M. Garge, Deep H. Makadiya
The existence of triangular and unitriangular factorizations has been extensively studied for untwisted Chevalley groups, as well as for twisted Chevalley groups of types other tha…
Normalizer of Twisted Chevalley Groups over Commutative Rings
Shripad M. Garge, Deep H. Makadiya
Let be a commutative ring with unity. Consider the twisted Chevalley group of type over and its elementary subgroup . This paper inv…
On Normal Subgroups of Twisted Chevalley Groups over Commutative Rings
Shripad M. Garge, Deep H. Makadiya
In this paper, we prove two structure theorems for twisted Chevalley groups over a commutative ring with unity. The first theorem concerns the normality of …
A Frobenius-Type Formula for Compact Lie Groups
Shripad Garge, Uday Bhaskar Sharma
Let be a group and denote the commutator map. In the case of finite groups, Frobenius gave the formula to compute the cardinalities of the fibres $α^{-1}(…
Effective cone of a Grassmann bundle over a curve defined over
Indranil Biswas, Shripad M. Garge, Krishna Hanumanthu
Let be an irreducible smooth projective curve defined over and a vector bundle on of rank at least two. For any $1\, \leq\, r\, <\, {\rm rank}(…
Torus Quotients of Richardson Varieties
Somnath Dake, Shripad M. Garge, Arpita Nayek
For let denote the Grassmannian parametrizing -dimensional subspaces of Let In this article we show that the GIT quotient…