Anita Naolekar
Associate Professor
Statistics and Mathematics Unit, Indian Statistical
Institute,
Bangalore Center, India.
Research Interests:
1. (Non) associative rings and algebras
2. Theory of operads, algebraic deformation theory
3. Homotopy algebras
4. Representations and (co)representations of
algebras over operads.
Publications:
- Majumdar, Anita; Mukherjee, Goutam Deformation theory of
dialgebras. K-Theory 27 (2002), no. 1, 33–60.
- Majumdar, Anita; Mukherjee, Goutam Dialgebra cohomology as a G-algebra. Trans. Amer. Math. Soc. 356 (2004), no. 6, 2443–2457
- Majumdar, Anita; Yau, Donald Cohomology and
duality for coalgebras over a quadratic operad. J. Gen. Lie Theory
Appl. 3 (2009), no. 2, 131–148.
- Fialowski,
Alice; Majumdar,
Anita Miniversal deformations of dialgebras. Commun.
Contemp. Math. 11 (2009), no.
3, 413–432.
- Majumdar, Anita; Yau, Donald Cohomology with coefficients for
operadic coalgebras. Proc. Indian
Acad. Sci. Math. Sci. 119 (2009), no. 4, 431–452.
- Fialowski, Alice; Mukherjee, Goutam; Naolekar, Anita Versal
deformation theory of algebras over a quadratic
operad. Homology Homotopy Appl. 16 (2014), no. 1, 179–198.
- Mishra,
Satyendra Kumar; Naolekar, Anita O-operators
on hom-Lie algebras. J. Math. Phys. 61 (2020), no. 12, 121701,
19 pp.
- Balodi,
Mamta; Banerjee,
Abhishek; Naolekar,
Anita BV-operators and the
secondary Hochschild complex. C. R.
Math. Acad. Sci. Paris 358 (2020), no. 11-12, 1239–1258.
- Makhlouf,
Abdenacer; Naolekar,
Anita On n-Hom-Leibniz
algebras and cohomology. Georgian
Math. J. 28 (2021), no. 5, 765–786.
- Mishra,
Satyendra Kumar; Mukherjee,
Goutam; Naolekar,
Anita Cohomology
and deformations of Filippov algebroids. Proc.
Indian Acad. Sci. Math. Sci. 132 (2022), no. 1, Paper
No. 2, 25 pp.
-
Das,
Apurba; Mishra, Satyendra Kumar;
Naolekar, Anita; Non
commutative differential calculus
structure on secondary Hochschild
(co)homology. Comm.
Algebra 50 (2022), no.
6, 2349–2365.
Preprints:
- Abhishek Banerjee, Mamta Balodi and
Anita Naolekar Weak comp algebras and
cup products in secondary Hochschild cohomology of entwining
Structures.
- Abhishek Banerjee and Anita Naolekar On
representation categories of A_\infty algebras and A_\infty
coalgebras.
email:
anita(dot)naolekar@gmail(dot)com
anita@isibang(dot)ac(dot)in