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- Keio UniversityJP10 papers
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- Indian Institute of Science Education and Research PuneIN3 papers
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math.RA2025★ 1 cited
Universal Coacting Hopf Algebra of a finite-dimensional Algebra over an Operad
Saikat Goswami, Satyendra Kumar Mishra, Suman Pattanayak
A. L. Agore and G. Militaru constructed a new invariant (a ``universal coacting Hopf algebra") for some finite-dimensional binary quadratic algebras such as Lie/Leibniz algebras, a…
math.RA2023★ 11 cited
Automorphisms of extensions of Lie-Yamaguti algebras and Inducibility problem
Saikat Goswami, Satyendra Kumar Mishra, Goutam Mukherjee
Lie-Yamaguti algebras generalize both the notions of Lie algebras and Lie triple systems. In this paper, we consider the inducibility problem for automorphisms of extensions of Lie…
math.RA2020★ 15 cited
The -deformations of associative Rota-Baxter algebras and homotopy Rota-Baxter operators
Apurba Das, Satyendra Kumar Mishra
A relative Rota-Baxter algebra is a triple consisting of an algebra , an -bimodule , and a relative Rota-Baxter operator . Using Voronov's derived bracket a…