3 papers
math.RT2026
Representation and Extending structure of a Multiplicative Lie algebra
Neeraj Kumar Maurya, Sumit Kumar Upadhyay
In this paper, we attempt to develop a general notion of representation theory for multiplicative Lie algebras. Consequently, we study equivalent, irreducible, and completely reduc…
math.RA2026
Theory of extension of commutative poisson algebra
Neeraj Kumar Maurya, Deepak Pal, Sumit Kumar Upadhyay
In this paper, we develop the extension theory of commutative Poisson algebras. Specifically, we define the second cohomology of a commutative Poisson algebra with coefficients…
math.GR2025
Excision and idealization of a multiplicative Lie algebra
Neeraj Kumar Maurya, Amit Kumar, Sumit Kumar Upadhyay
In this article, we introduce the concepts of excision and idealization for a multiplicative Lie algebra (also for a Lie algebra), which provides two new multiplicative Lie algebra…