3 citations · 4 across the 10 of their papers we have counts for
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On the GIT quotient of Grassmannians by one dimensional torus
Narasimha Chary Bonala, S Senthamarai Kannan, Santosha Pattanayak
We consider the action of the one-parameter subgroup of the special linear group corresponding to a simple root on Grassmannians and describe the structure of the associated Geomet…
On the torus quotients of Schubert varieties
Narasimha Chary Bonala, Santosha Kumar Pattanayak
In this paper, we consider the GIT quotients of Schubert varieties for the action of a maximal torus. We describe the minuscule Schubert varieties for which the semistable locus is…
When is the ring of invariants of the homogeneous coordinate ring of a polynomial algebra- connection with the Coxeter elements
S. Senthamarai Kannan, B. Narasimha Chary, Santosha Kumar Pattanayak
In this article, we prove that for any indecomposable dominant character of a maximal torus of a simple adjoint group such that there is a Coxeter element for whi…
Projective normality of Weyl group quotients
S. S. Kannan, S. K. Pattanayak
In this note, we prove that for the standard representation of the Weyl group of a semi-simple algebraic group of type and over ,…
Projective normality of quotient varieties modulo finite groups
S. S. Kannan, S. K. Pattanayak, Pranab Sardar
In this note, we prove that for any finite dimensional vector space over an algebraically closed field , and for any finite subgroup of which is either solvable…