Saudamini Nayak

activity

20132026

most citedClassification of finite dimensional nilpotent Lie superalgebras by their multiplier

2 citations · 4 across the 9 of their papers we have counts for

collaborators

11 papers

math.RA2026

On the Canonical Construction of Simple Lie Superalgebras

J. Dhamothiran, Saudamini Nayak

Axioms for the generalization of root systems were defined and classified (irreducible) by V. Serganova, which precisely correspond to the root systems of basic classical Lie Super…

math.RT2025

Weyl modules for equivariant map Lie superalgebras

Lakshmi S K, Saudamini Nayak

Equivariant map superalgebras are Lie superalgebras of algebraic maps from a scheme to a target finite dimensional Lie superalgebra that are equivariant with respect to the action…

math.NT2025

On the number of irreducible representations of $\so(5)$

Saudamini Nayak, Nabin Kumar Meher, Sudhansu Sekhar Rout

Let $d (n)$ be the divisor function and it is well known that $\sum_{1 \leq n \leq x} d (n) = x lo g x + (2 γ - 1) x + O (x^{θ + ε})$ where $γ$ is the Euler constant, $ε > 0$ a…

math.RA2023

Capability of Nilpotent Lie Superalgebras of Small Dimension

Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Saudamini Nayak

In this paper, we define partially capable Lie superalgebra. As an application we classify all capable nilpotent Lie superalgebras of dimension less than equal to five.

math.RT2023

Weyl modules for queer Lie superalgebras

Saudamini Nayak

We define global and local Weyl modules for $q \otimes A$ , where $q$ is the queer Lie superalgebra and $A$ is an associative commutative unital $C -$ algebra. We prove that…

math.RA2018

Some properties of isoclinism in Lie superalgebras

Saudamini Nayak, Rudra Narayan Padhan, Kishor Chandra Pati

Isoclinism of Lie superalgebras has been defined and studied currently. In this article it is shown that for finite dimensional Lie superalgebras of same dimension, the notation of…

math.RA2018★ 2 cited

Classification of finite dimensional nilpotent Lie superalgebras by their multiplier

Saudamini Nayak

Let $L$ be a nilpotent Lie superalgebra of dimension $(m ∣ n)$ and $s (L) = \frac{1}{2} [(m + n - 1) (m + n - 2)] + n + 1 - dim M (L)$ , where $M (L)$ denotes the Sch…

math.RA2018★ 2 cited

Detecting Capable Lie Superalgebra

Rudra Narayan Padhan, Saudamini Nayak, K. C Pati

In this article we show that distributive law holds for non-abelian tensor product of Lie superalgebras under certain direct sums. There by we obtain a rule for non-abelian exterio…

math.RA2018

On Isoclinism \& Baer's theorem for Lie superalgebras

Saudamini Nayak

In this paper we define isoclinism for Lie superalgebras and using the concept of isoclinism, we give the structure of all covers of Lie superalgebras when their Schur multipliers…

math.RA2018

Multipliers of nilpotent Lie superalgebras

Saudamini Nayak

In this paper, first we prove that all finite dimensional special Heisenberg Lie superalgebras with even center have same dimension, say $(2 m + 1 ∣ n)$ for some non-negative intege…

math-ph2013

Affine Kac-Moody symmetric spaces associated with untwisted Kac-Moody algebras

Saudamini Nayak, S. S. Rout, K. C. Pati

In this paper we have computed all the affine Kac-Moody symmetric spaces which are tame Frechet manifolds starting from the Vogan diagrams related to the affine untwisted Kac-Moody…