3 citations · 4 across the 10 of their papers we have counts for
11 papers
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…
Graded Picture Invariants and polynomial invariants for mixed tensor superspaces
Santosha Pattanayak, Preena Samuel
In this paper we consider the mixed tensor space of a -graded vector space. We obtain a spanning set of invariants of the associated symmetric algebra under the action…
Quotients of commuting schemes associated to Symmetric Pairs
Santosh Nadimpalli, Santosha Pattanayak
Let be a -grading of a classical Lie algebra such that is a classical symmetric pai…
A note on branching of
Santosh Nadimpalli, Santosha Pattanayak
Let be a complex simple Lie algebra and let be the sub-algebra fixed by a diagram automorphism of . Let be the complex, simply-con…
Weyl modules for toroidal Lie algebras
Sudipta Mukherjee, Santosha Kumar Pattanayak, Sachin S. Sharma
In this paper we study Weyl modules for a toroidal Lie algebra $\CT$ with arbitrary variables. Using the work of Rao \cite{1995}, we prove that the level one global Weyl module…
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…