2 citations · 4 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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.
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…
Classification of finite dimensional nilpotent Lie superalgebras by their multiplier
Saudamini Nayak
Let be a nilpotent Lie superalgebra of dimension and , where denotes the Sch…
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…
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…
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 for some non-negative intege…