8 papers
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…
Geometric Invariant Theory of Peterson Varieties
Arkadev Ghosh, Santosha Pattanayak
We study the GIT quotients of the Peterson variety under a one-parameter subgroup with respect to the linea…
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 , relating Sergeev's odd cyclic central elements to Nazarov's one-row Capelli elements. The identi…
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\…
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…
Mixed tensor invariants of Lie color algebra
Santosha Pattanayak, Preena Samuel
In this paper, we consider the mixed tensor space of a -graded vector space where is a finite abelian group. We obtain a spanning set of invariants of the associated symmetr…