Geodesic
Differentional calculuses in group algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2023), pp. 89-94

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In this paper we present results devoted to the description of families of operators obeying some inductive identities (e.g. the Leibniz rule, the case of differentiations, Fox differentiations) as characters on a suitable groupoid. In the first place, we give an implementation of this construction for differentiations in group algebras and Fox differentiations as characters on an action groupoid.
Keywords: derivations, Fox derivative, operator algebra, identity
Mots-clés : groupoid. 
@article{IVM_2023_6_a7,
     author = {A. A. Arutyunov},
     title = {Differentional calculuses in group algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {89--94},
     publisher = {mathdoc},
     number = {6},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_6_a7/}
}
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A. A. Arutyunov. Differentional calculuses in group algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2023), pp. 89-94. http://geodesic.mathdoc.fr/item/IVM_2023_6_a7/