Lie algebra and Representation Theory
Lie superalgebras and their representations
Group theory and Combinatorics
Niranjan Nehra, Shushma Rani, 2-local derivations on symmetrizable Kac-Moody Lie algebras, accepted in Algebra Colloquium (2025).
Shushma Rani, Niranjan Nehra, Rohit Garg, On commuting automorphisms of nilpotent Lie algebras, Communications in Algebra, 51(1), 1-9, 2025.
Shushma Rani, Divya Setia, Graded representations of current Lie superalgebra sl(1|2)[t], Linear Algebra and its applications, 727 (2025), 178--202; MR4948510.
Divya Setia, Shushma Rani, Tanusree Khandai, Filtration of tensor product of local Weyl modules for sl_{n+1}[t], J Algebr Comb, 61, 54 (2025).
Shushma Rani, G. Arunkumar, A study on free roots of Borcherds-Kac-Moody Lie superalgebras, J. Combin. Theory Ser. A., 204: 105862, 2024.
Niranjan Nehra, Shushma Rani, Image of Lie polynomial of degree 2 evaluated on Nilpotent Lie algebras, Communications in Algebra, 51(1), 46-62, 2023.
Preprint:
Chaithra P, Shushma Rani and R. Venkatesh, Marked multi-colorings and marked chromatic polynomials of hypergraphs and subspace arrangements, arXiv e-prints (2025).
Shushma Rani, Tanusree Khandai, Graded Character Formula for Fusion Products of Irreducible Modules and Littlewood-Richardson Coefficients in Type A_2, arXiv e-prints (2023).