15 citations · 44 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Nambu structures on Lie algebroids and their modular classes
Apurba Das, Shilpa Gondhali, Goutam Mukherjee
We introduce the notion of the modular class of a Lie algebroid equipped with a Nambu structure. In particular, we recover the modular class of a Nambu-Poisson manifold with it…
Nambu Structures And Associated Bialgebroids
Samik Basu, Somnath Basu, Apurba Das +1
This paper investigates higher order generalizations of well known results for Lie algebroids and bialgebroids. It is proved that -Lie algebroid structures correspond to -ary…
Modular Class of a Lie algebroid with a Nambu structure
Apurba Das, Shilpa Gondhali, Goutam Mukherjee
In this paper, we introduce the notion of modular class of a Lie algebroid equipped with a Nambu structure satisfying some suitable hypothesis. We also introduce cohomology and…