Apurba Das

most citedMultiplicative Nambu structures on Lie groupoids

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math.RA2024

Averaging operators on groups, racks and Leibniz algebras

Apurba Das

This paper considers averaging operators on various algebraic structures and studies the induced structures. We first introduce the notion of an averaging operator on a group $G$ a…

math.RA2023★ 1 cited

Homotopy conformal algebras

Anupam Sahoo, Apurba Das

The notion of conformal algebras was introduced by Victor G. Kac using the axiomatic description of the operator product expansion of chiral fields in conformal field theory. The s…

math.RA2023

$2$ -term averaging $L_{\infty}$ -algebras and non-abelian extensions of averaging Lie algebras

Apurba Das, Sourav Sen

In recent years, averaging operators on Lie algebras (also called embedding tensors in the physics literature) and associated tensor hierarchies form an efficient tool for construc…

Averaging operators on groups, racks and Leibniz algebras

Homotopy conformal algebras

2-term averaging L∞​-algebras and non-abelian extensions of averaging Lie algebras

$2$ -term averaging $L_{\infty}$ -algebras and non-abelian extensions of averaging Lie algebras