Geodesic
Automorphisms of Tensor Completions of Algebras
Algebra i logika, Tome 44 (2005) no. 3, pp. 368-382

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In the classical representation of different groups, frequent use is made of a linear automorphism group of various algebras. Since the linear automorphism group is only part of a full automorphism group, such an approach might seem to be too restrictive. In this connection, we point out a natural, wide class of algebras whose automorphisms are standard and are reducible to linear. Thus, for algebras in this class, studying the full automorphism group reduces to treating the linear, a traditional approach in the class of such algebras being quite general.
Mots-clés : automorphism
Keywords: tensor completion of algebras. 
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     author = {K. N. Ponomarev},
     title = {Automorphisms of {Tensor} {Completions} of {Algebras}},
     journal = {Algebra i logika},
     pages = {368--382},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2005_44_3_a5/}
}
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K. N. Ponomarev. Automorphisms of Tensor Completions of Algebras. Algebra i logika, Tome 44 (2005) no. 3, pp. 368-382. http://geodesic.mathdoc.fr/item/AL_2005_44_3_a5/