32 citations · 155 across the 50 of their papers we have counts for
64 papers
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…
-term averaging -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…
Balanced Butterfly Counting in Bipartite-Network
Apurba Das, Aman Abidi, Ajinkya Shingane +1
Bipartite graphs offer a powerful framework for modeling complex relationships between two distinct types of vertices, incorporating probabilistic, temporal, and rating-based infor…
Embedding tensors on Hom-Lie algebras
Apurba Das, Abdenacer Makhlouf
The notion of embedding tensors and the associated tensor hierarchies form an effective tool for the construction of supergravity and higher gauge theories. Embedding tensors and r…
Controlling structures, deformations and homotopy theory for averaging algebras
Apurba Das
An averaging operator on an associative algebra is an algebraic abstraction of the time average operator on the space of real-valued functions defined in time-space. In this pa…
Deformations and homotopy theory for Rota-Baxter family algebras
Apurba Das
The concept of Rota-Baxter family algebra is a generalization of Rota-Baxter algebra. It appears naturally in the algebraic aspects of renormalizations in quantum field theory. Rot…