Santosha Pattanayak

activity

20192026

collaborators

9 papers

math.AG2026

Dimensions and maximal-dimensional components of higher commuting varieties of symmetric pairs

Santosha Pattanayak

Let $p$ be the $(- 1)$ -eigenspace of a complex semisimple symmetric pair. For every $r \geq 2$ , we prove $\dim C_r(\mathcal N(\mathfrak p))\le \lfloor r\dim\mathfrak p/2\rflo…

math.AG2026

Fano Generalized Bott-Samelson Varieties

Narasimha Chary Bonala, Santosha Pattanayak, Yogendra Singh

The Bott-Samelson varieties provide natural desingularizations of Schubert varieties, and their generalizations, called generalized Bott-Samelson varieties, were constructed by Nic…

math.AG2026

Geometric Invariant Theory of Peterson Varieties

Arkadev Ghosh, Santosha Pattanayak

We study the GIT quotients of the Peterson variety $Pet_{n} \subset GL (n, C) / B$ under a one-parameter subgroup $λ : G_{m} \to T$ with respect to the linea…

math.CO2026

A Newton Identity and Finite-Rank Reconstruction for the Queer Lie Superalgebra

Abhishek Das, Santosha Pattanayak

We establish a Newton-type identity for the queer Lie superalgebra $q_{N}$ , relating Sergeev's odd cyclic central elements to Nazarov's one-row Capelli elements. The identi…

math.RT2026

Uniqueness of Branching through regular unipotent elements

Santosh Nadimpalli, Santosha Pattanayak

Let $\mathrm G$ be a complex simple algebraic group and let $\mathrm G_0\subset \mathrm G$ be a closed connected subgroup containing a regular unipotent element of \(\mathrm G\…

math.RT2025

Character theory at a torsion element

Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad

The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on an…

math.RT2024

Mixed tensor invariants of Lie color algebra

Santosha Pattanayak, Preena Samuel

In this paper, we consider the mixed tensor space of a $G$ -graded vector space where $G$ is a finite abelian group. We obtain a spanning set of invariants of the associated symmetr…

math.RT2024

On tensor products of representations of Lie superalgebras

Abhishek Das, Santosha Pattanayak

We consider typical finite dimensional complex irreducible representations of a basic classical simple Lie superalgebra, and give a sufficient condition on when unique factorizatio…

math.AG2019

Torus quotient of Richardson varieties in Orthogonal and Symplectic Grassmannians

Arpita Nayek, Santosha Kumar Pattanayak

For any simple, simply connected algebraic group $G$ of type $B, C$ and $D$ and for any maximal parabolic subgroup $P$ of $G$ , we provide a criterion for a Richardson variety in $G/…