S. Pattanayak

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20082025

V (ρ)

3 citations · 4 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.RT2023

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 $Z_{2}$ -graded vector space. We obtain a spanning set of invariants of the associated symmetric algebra under the action…

math.RT2022

Quotients of commuting schemes associated to Symmetric Pairs

Santosh Nadimpalli, Santosha Pattanayak

Let $g = g_{0} \oplus g_{1}$ be a $Z_{2}$ -grading of a classical Lie algebra such that $(g, g_{0})$ is a classical symmetric pai…

math.RT2022★ 3 cited

A note on branching of $V (ρ)$

Santosh Nadimpalli, Santosha Pattanayak

Let $g$ be a complex simple Lie algebra and let $g_{0}$ be the sub-algebra fixed by a diagram automorphism of $g$ . Let $G$ be the complex, simply-con…

math.RT2022

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 $n$ variables. Using the work of Rao \cite{1995}, we prove that the level one global Weyl module…

math.RT2019

Projective normality of torus quotients of flag varieties

Arpita Nayek, Santosha Kumar Pattanayak, Shivang Jindal

Let $G = S L_{n} (C)$ and $T$ be a maximal torus in $G$ . We show that the quotient $T \\ G / P_{α_{1}} \cap P_{α_{2}}$ is projectively normal with respect to the de…

math.RT2008

Torus quotients of homogeneous spaces-minimal dimensional Schubert Variety admitting semi-stable points

S. S. Kannan, S. K. Pattanayak

In this paper, for any simple, simply connected algebraic group $G$ of type $B_{n}, C_{n}$ or $D_{n}$ and for any maximal parabolic subgroup $P$ of $G$ , we describe all minimal dimensiona…