Anita Naolekar

activity

20122022

most cited

O

-Operators on Hom-Lie algebras

27 citations · 28 across the 6 of their papers we have counts for

collaborators

8 papers

math.CT2022

Adjunctions between Eilenberg-Moore categories and a PBW-type theorem

Mamta Balodi, Abhishek Banerjee, Anita Naolekar

Recently, Dotsenko and Tamaroff have shown that a morphism of $T ⟶ S$ of monads over a category $C$ satisfies the PBW-property if and only if it makes $S$ int…

math.CT2021

On representation categories of $A_{\infty}$ -algebras and $A_{\infty}$ -coalgebras

Abhishek Banerjee, Anita Naolekar

In this paper, we use the language of monads, comonads and Eilenberg-Moore categories to describe a categorical framework for $A_{\infty}$ -algebras and $A_{\infty}$ -coalgebras, as well…

math.RA2021

Noncommutative Differential Calculus Structure on Secondary Hochschild (co)homology

Apurba Das, Satyendra Kumar Mishra, Anita Naolekar

Let $B$ be a commutative algebra and $A$ be a $B$ -algebra (determined by an algebra homomorphism $ε : B \to A$ ). M. D. Staic introduced a Hochschild like cohomology…

math.RA2020★ 27 cited

$O$ -Operators on Hom-Lie algebras

Satyendra Kumar Mishra, Anita Naolekar

$O$ -operators (also known as relative Rota-Baxter operators) on Lie algebras have several applications in integrable systems and the classical Yang-Baxter equations. In t…

math.DG2019

Cohomology and deformations of Filippov algebroids

Satyendra Kumar Mishra, Goutam Mukherjee, Anita Naolekar

In this article, we study the deformations of Filippov algebroids. We define a differential graded Lie algebra (in short DGLA) for a Filippov algebroid by introducing the notion of…

math.RA2019

BV-operators and secondary Hochschild complex

Mamta Balodi, Abhishek Banerjee, Anita Naolekar

We introduce the notion of a BV-operator $Δ = {Δ^{n} : V^{n} ⟶ V^{n - 1}}_{n \geq 0}$ on a homotopy $G$ -algebra $V^{∙}$ such that the Gerstenhaber bracket on $H (V^{∙})$ …

math.RA2018

On n-Hom-Leibniz algebras and cohomology

Abdenacer Makhlouf, Anita Naolekar

The purpose of this paper is to provide a cohomology of $n$ -Hom-Leibniz algebras. Moreover, we study some higher operations on cohomology spaces and deformations.

math.KT2012★ 1 cited

Versal deformation theory of algebras over a quadratic operad

Alice Fialowski, Goutam Mukherjee, Anita Naolekar

We develop deformation theory of algebras over quadratic operads where the parameter space is a commutative local algebra. We also give a construction of a distinguised deformation…