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20172022
most citedCohomology of weighted Rota-Baxter Lie algebras and Rota-Baxter paired operators

6 citations · 22 across the 17 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

math.DG2018

Contact Courant algebroids and -algebras

Apurba Das

Let be a line bundle over . In this paper we associate an -algebra to any -Courant algebroid (contact Courant algebroid in the sense of Grabowski). This constru…

math.RA2018

Crossed extensions of Lie algebras

Apurba Das

It is known that Hochschild cohomology groups are represented by crossed extensions of associative algebras. In this paper, we introduce crossed -fold extensions of a Lie algebr…

math.RA2018

Hom-associative algebras up to homotopy

Apurba Das

A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. In this paper, we introduce a strongly homotopy version of hom-associative algebr…

cs.DS2018

Enumerating Top-k Quasi-Cliques

Seyed-Vahid Sanei-Mehri, Apurba Das, Srikanta Tirthapura

Quasi-cliques are dense incomplete subgraphs of a graph that generalize the notion of cliques. Enumerating quasi-cliques from a graph is a robust way to detect densely connected st…

math.RA2018

Homotopy G-algebra structure on the cochain complex of hom-type algebras

Apurba Das

A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra car…

cs.DS2018

Shared-Memory Parallel Maximal Clique Enumeration

Apurba Das, Seyed-Vahid Sanei-Mehri, Srikanta Tirthapura

We present shared-memory parallel methods for Maximal Clique Enumeration (MCE) from a graph. MCE is a fundamental and well-studied graph analytics task, and is a widely used primit…